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Finding the Fourth Proportional to 408,909.18, 564,311.24 and 227,609.61

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Solution

The fourth proportional to 408,909.18, 564,311.24 and 227,609.61 is: 314,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,909.18 : 564,311.24 = 227,609.61 : x
  2. Step 2: Convert to fraction form
    408,909.18/564,311.24 = 227,609.61/x
  3. Step 3: Cross multiply
    408,909.18x = 564,311.24 × 227,609.61
  4. Step 4: Simplify right side
    408,909.18x = 128,442,661,255.02
  5. Step 5: Solve for x
    x = 128,442,661,255.02/408,909.18
  6. Step 6: Final answer
    x = 314,110.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.