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Finding the Fourth Proportional to 408,309.35, 563,463.95 and 227,019.87

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Solution

The fourth proportional to 408,309.35, 563,463.95 and 227,019.87 is: 313,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,309.35 : 563,463.95 = 227,019.87 : x
  2. Step 2: Convert to fraction form
    408,309.35/563,463.95 = 227,019.87/x
  3. Step 3: Cross multiply
    408,309.35x = 563,463.95 × 227,019.87
  4. Step 4: Simplify right side
    408,309.35x = 127,917,511,543.59
  5. Step 5: Solve for x
    x = 127,917,511,543.59/408,309.35
  6. Step 6: Final answer
    x = 313,285.78

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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.