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Finding the Fourth Proportional to 497,841,242.35, 746,761,863.53 and 429,760,807.15

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Solution

The fourth proportional to 497,841,242.35, 746,761,863.53 and 429,760,807.15 is: 644,641,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,841,242.35 : 746,761,863.53 = 429,760,807.15 : x
  2. Step 2: Convert to fraction form
    497,841,242.35/746,761,863.53 = 429,760,807.15/x
  3. Step 3: Cross multiply
    497,841,242.35x = 746,761,863.53 × 429,760,807.15
  4. Step 4: Simplify right side
    497,841,242.35x = 320,928,981,217,342,144
  5. Step 5: Solve for x
    x = 320,928,981,217,342,144/497,841,242.35
  6. Step 6: Final answer
    x = 644,641,210.73

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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.