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Finding the Fourth Proportional to 275,691.60, 413,780.40 and 163,231.20

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Solution

The fourth proportional to 275,691.60, 413,780.40 and 163,231.20 is: 244,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,691.60 : 413,780.40 = 163,231.20 : x
  2. Step 2: Convert to fraction form
    275,691.60/413,780.40 = 163,231.20/x
  3. Step 3: Cross multiply
    275,691.60x = 413,780.40 × 163,231.20
  4. Step 4: Simplify right side
    275,691.60x = 67,541,871,228.48
  5. Step 5: Solve for x
    x = 67,541,871,228.48/275,691.60
  6. Step 6: Final answer
    x = 244,990.68

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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.