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Finding the Fourth Proportional to 408,701.96, 564,008.71 and 227,425.57

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Solution

The fourth proportional to 408,701.96, 564,008.71 and 227,425.57 is: 313,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,701.96 : 564,008.71 = 227,425.57 : x
  2. Step 2: Convert to fraction form
    408,701.96/564,008.71 = 227,425.57/x
  3. Step 3: Cross multiply
    408,701.96x = 564,008.71 × 227,425.57
  4. Step 4: Simplify right side
    408,701.96x = 128,270,002,356.72
  5. Step 5: Solve for x
    x = 128,270,002,356.72/408,701.96
  6. Step 6: Final answer
    x = 313,847.29

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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.