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Finding the Fourth Proportional to 408,439.60, 563,613.98 and 227,151.88

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Solution

The fourth proportional to 408,439.60, 563,613.98 and 227,151.88 is: 313,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,439.60 : 563,613.98 = 227,151.88 : x
  2. Step 2: Convert to fraction form
    408,439.60/563,613.98 = 227,151.88/x
  3. Step 3: Cross multiply
    408,439.60x = 563,613.98 × 227,151.88
  4. Step 4: Simplify right side
    408,439.60x = 128,025,975,151.28
  5. Step 5: Solve for x
    x = 128,025,975,151.28/408,439.60
  6. Step 6: Final answer
    x = 313,451.43

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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.