Finding the Fourth Proportional to 472,392,512.20, 708,588,768.30 and 429,310,361.80
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Solution
The fourth proportional to 472,392,512.20, 708,588,768.30 and 429,310,361.80 is: 643,965,542.70
Step by Step Solution
- Step 1: Write the proportion equation
472,392,512.20 : 708,588,768.30 = 429,310,361.80 : x - Step 2: Convert to fraction form
472,392,512.20/708,588,768.30 = 429,310,361.80/x - Step 3: Cross multiply
472,392,512.20x = 708,588,768.30 × 429,310,361.80 - Step 4: Simplify right side
472,392,512.20x = 304,204,500,486,289,344 - Step 5: Solve for x
x = 304,204,500,486,289,344/472,392,512.20 - Step 6: Final answer
x = 643,965,542.70
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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.