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Finding the Fourth Proportional to 442,153.92, 663,425.28 and 161,712.96

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Solution

The fourth proportional to 442,153.92, 663,425.28 and 161,712.96 is: 242,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,153.92 : 663,425.28 = 161,712.96 : x
  2. Step 2: Convert to fraction form
    442,153.92/663,425.28 = 161,712.96/x
  3. Step 3: Cross multiply
    442,153.92x = 663,425.28 × 161,712.96
  4. Step 4: Simplify right side
    442,153.92x = 107,284,465,767.63
  5. Step 5: Solve for x
    x = 107,284,465,767.63/442,153.92
  6. Step 6: Final answer
    x = 242,640.54

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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.