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How do you determine Tire size on a 4x4 tractor when going to Low Pro tires vs Factory tall ones?

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Like I said....Looking at a possible purchase..yep its 4x4.

When swapping from tall R1's to some Low pro Radials in a perfect world.

How do you know what size for front & Rear........I'm less than skeptical about trusting any of the current employees of Any tire store local to me.

I need to do this math myself w/Help of course.

It will be a spendy venture.....I don't think tractor Data lists gear ratio's for Front & Rear axlels.
Anyone know a source for this info...??

Heres the tractor..

Factory R1's
John Deere 5420 Tires
Ag front:7.50-16
Ag rear:16.9-30

This tells me not much.
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That would be for a 2wd tractor. MFWD tractors had 11.2-24 fronts if they had 16.9-30 rears according to the manual.
7.5x16 front/16.9x30 rear Ag's, is what tractor data lists as coming on them factory
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The 276 cid 4 cylinder (aka 4045) is another one of Deere's engines they've been making since the 1970s and has an excellent reputation. We had essentially that same engine as in in the 5420 you are looking at in a 5410 and put a couple thousand hours on it without any issues, and then my dad has the turbocharged Tier III version in a 5083E and has put a couple thousand hours on it without any issues either.
Never have investigated the actual engine yet........No ones jumped out and said anything bad about a JD 4cyl and I've yet to stumble on any talk about engine troubles.
Hoping for the best......
Deere painted engines in their small frame utility tractors black instead of green when they changed from the 55 series to the 5x00 series in the early 1990s and continued the black engines through the 5x25/5x03/5x05 series in the late 2000s. They switched back to green engines when they changed the model designations from 5xxx to 5D/5E/5M.
My JD 6415 also has the 276ci 4045 engine. Close to 3000 hours and no problems. It's 85PTO HP and I've seen it list at 100, 104, and 108 gross HP. (in the 6415)
The only thing wrong with that engine in the 5420 is JD painted it black instead of green :D
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