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Finding the Fourth Proportional to 408,476.42, 563,687.61 and 227,187.80

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Solution

The fourth proportional to 408,476.42, 563,687.61 and 227,187.80 is: 313,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,476.42 : 563,687.61 = 227,187.80 : x
  2. Step 2: Convert to fraction form
    408,476.42/563,687.61 = 227,187.80/x
  3. Step 3: Cross multiply
    408,476.42x = 563,687.61 × 227,187.80
  4. Step 4: Simplify right side
    408,476.42x = 128,062,948,003.16
  5. Step 5: Solve for x
    x = 128,062,948,003.16/408,476.42
  6. Step 6: Final answer
    x = 313,513.69

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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.