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Finding the Fourth Proportional to 498,248, 747,414.12 and 156,769.76

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Solution

The fourth proportional to 498,248, 747,414.12 and 156,769.76 is: 235,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,248 : 747,414.12 = 156,769.76 : x
  2. Step 2: Convert to fraction form
    498,248/747,414.12 = 156,769.76/x
  3. Step 3: Cross multiply
    498,248x = 747,414.12 × 156,769.76
  4. Step 4: Simplify right side
    498,248x = 117,171,932,213.01
  5. Step 5: Solve for x
    x = 117,171,932,213.01/498,248
  6. Step 6: Final answer
    x = 235,167.89

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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.