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Finding the Fourth Proportional to 408,766.88, 564,086.76 and 227,475.92

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Solution

The fourth proportional to 408,766.88, 564,086.76 and 227,475.92 is: 313,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,766.88 : 564,086.76 = 227,475.92 : x
  2. Step 2: Convert to fraction form
    408,766.88/564,086.76 = 227,475.92/x
  3. Step 3: Cross multiply
    408,766.88x = 564,086.76 × 227,475.92
  4. Step 4: Simplify right side
    408,766.88x = 128,316,154,690.82
  5. Step 5: Solve for x
    x = 128,316,154,690.82/408,766.88
  6. Step 6: Final answer
    x = 313,910.35

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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.