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Finding the Fourth Proportional to 498,053.28, 747,299.52 and 261,338.88

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Solution

The fourth proportional to 498,053.28, 747,299.52 and 261,338.88 is: 392,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,053.28 : 747,299.52 = 261,338.88 : x
  2. Step 2: Convert to fraction form
    498,053.28/747,299.52 = 261,338.88/x
  3. Step 3: Cross multiply
    498,053.28x = 747,299.52 × 261,338.88
  4. Step 4: Simplify right side
    498,053.28x = 195,298,419,581.34
  5. Step 5: Solve for x
    x = 195,298,419,581.34/498,053.28
  6. Step 6: Final answer
    x = 392,123.55

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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.