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Finding the Fourth Proportional to 497,911.92, 687,035.16 and 472,691.76

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Solution

The fourth proportional to 497,911.92, 687,035.16 and 472,691.76 is: 652,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,911.92 : 687,035.16 = 472,691.76 : x
  2. Step 2: Convert to fraction form
    497,911.92/687,035.16 = 472,691.76/x
  3. Step 3: Cross multiply
    497,911.92x = 687,035.16 × 472,691.76
  4. Step 4: Simplify right side
    497,911.92x = 324,755,858,962.28
  5. Step 5: Solve for x
    x = 324,755,858,962.28/497,911.92
  6. Step 6: Final answer
    x = 652,235.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.