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Finding the Fourth Proportional to 442,375.20, 663,562.80 and 162,001.80

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Solution

The fourth proportional to 442,375.20, 663,562.80 and 162,001.80 is: 243,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,375.20 : 663,562.80 = 162,001.80 : x
  2. Step 2: Convert to fraction form
    442,375.20/663,562.80 = 162,001.80/x
  3. Step 3: Cross multiply
    442,375.20x = 663,562.80 × 162,001.80
  4. Step 4: Simplify right side
    442,375.20x = 107,498,368,013.04
  5. Step 5: Solve for x
    x = 107,498,368,013.04/442,375.20
  6. Step 6: Final answer
    x = 243,002.70

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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.