Finding the Fourth Proportional to 472,395,906.20, 708,593,859.30 and 429,313,755.80
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Solution
The fourth proportional to 472,395,906.20, 708,593,859.30 and 429,313,755.80 is: 643,970,633.70
Step by Step Solution
- Step 1: Write the proportion equation
472,395,906.20 : 708,593,859.30 = 429,313,755.80 : x - Step 2: Convert to fraction form
472,395,906.20/708,593,859.30 = 429,313,755.80/x - Step 3: Cross multiply
472,395,906.20x = 708,593,859.30 × 429,313,755.80 - Step 4: Simplify right side
472,395,906.20x = 304,209,091,072,899,776 - Step 5: Solve for x
x = 304,209,091,072,899,776/472,395,906.20 - Step 6: Final answer
x = 643,970,633.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.