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Finding the Fourth Proportional to 498,102.50, 747,155.48 and 138,301.49

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Solution

The fourth proportional to 498,102.50, 747,155.48 and 138,301.49 is: 207,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,102.50 : 747,155.48 = 138,301.49 : x
  2. Step 2: Convert to fraction form
    498,102.50/747,155.48 = 138,301.49/x
  3. Step 3: Cross multiply
    498,102.50x = 747,155.48 × 138,301.49
  4. Step 4: Simplify right side
    498,102.50x = 103,332,711,718.38
  5. Step 5: Solve for x
    x = 103,332,711,718.38/498,102.50
  6. Step 6: Final answer
    x = 207,452.71

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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.