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Finding the Fourth Proportional to 408,805.11, 564,151.05 and 227,559.86

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Solution

The fourth proportional to 408,805.11, 564,151.05 and 227,559.86 is: 314,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,805.11 : 564,151.05 = 227,559.86 : x
  2. Step 2: Convert to fraction form
    408,805.11/564,151.05 = 227,559.86/x
  3. Step 3: Cross multiply
    408,805.11x = 564,151.05 × 227,559.86
  4. Step 4: Simplify right side
    408,805.11x = 128,378,129,998.30
  5. Step 5: Solve for x
    x = 128,378,129,998.30/408,805.11
  6. Step 6: Final answer
    x = 314,032.60

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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.