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Finding the Fourth Proportional to 442,159.20, 663,241.68 and 161,560.80

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Solution

The fourth proportional to 442,159.20, 663,241.68 and 161,560.80 is: 242,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,159.20 : 663,241.68 = 161,560.80 : x
  2. Step 2: Convert to fraction form
    442,159.20/663,241.68 = 161,560.80/x
  3. Step 3: Cross multiply
    442,159.20x = 663,241.68 × 161,560.80
  4. Step 4: Simplify right side
    442,159.20x = 107,153,856,414.14
  5. Step 5: Solve for x
    x = 107,153,856,414.14/442,159.20
  6. Step 6: Final answer
    x = 242,342.25

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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.