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Finding the Fourth Proportional to 442,337.10, 663,764.85 and 161,882.70

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Solution

The fourth proportional to 442,337.10, 663,764.85 and 161,882.70 is: 242,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,337.10 : 663,764.85 = 161,882.70 : x
  2. Step 2: Convert to fraction form
    442,337.10/663,764.85 = 161,882.70/x
  3. Step 3: Cross multiply
    442,337.10x = 663,764.85 × 161,882.70
  4. Step 4: Simplify right side
    442,337.10x = 107,452,046,083.10
  5. Step 5: Solve for x
    x = 107,452,046,083.10/442,337.10
  6. Step 6: Final answer
    x = 242,918.91

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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.