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Finding the Fourth Proportional to 408,399, 563,589.90 and 227,105.88

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Solution

The fourth proportional to 408,399, 563,589.90 and 227,105.88 is: 313,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,399 : 563,589.90 = 227,105.88 : x
  2. Step 2: Convert to fraction form
    408,399/563,589.90 = 227,105.88/x
  3. Step 3: Cross multiply
    408,399x = 563,589.90 × 227,105.88
  4. Step 4: Simplify right side
    408,399x = 127,994,580,198.61
  5. Step 5: Solve for x
    x = 127,994,580,198.61/408,399
  6. Step 6: Final answer
    x = 313,405.71

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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.