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Finding the Fourth Proportional to 514,839.92, 709,691.54 and 361,447.80

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Solution

The fourth proportional to 514,839.92, 709,691.54 and 361,447.80 is: 498,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,839.92 : 709,691.54 = 361,447.80 : x
  2. Step 2: Convert to fraction form
    514,839.92/709,691.54 = 361,447.80/x
  3. Step 3: Cross multiply
    514,839.92x = 709,691.54 × 361,447.80
  4. Step 4: Simplify right side
    514,839.92x = 256,516,445,811.61
  5. Step 5: Solve for x
    x = 256,516,445,811.61/514,839.92
  6. Step 6: Final answer
    x = 498,245.06

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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.