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Finding the Fourth Proportional to 408,869.88, 564,240.45 and 227,577.92

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Solution

The fourth proportional to 408,869.88, 564,240.45 and 227,577.92 is: 314,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,869.88 : 564,240.45 = 227,577.92 : x
  2. Step 2: Convert to fraction form
    408,869.88/564,240.45 = 227,577.92/x
  3. Step 3: Cross multiply
    408,869.88x = 564,240.45 × 227,577.92
  4. Step 4: Simplify right side
    408,869.88x = 128,408,665,169.66
  5. Step 5: Solve for x
    x = 128,408,665,169.66/408,869.88
  6. Step 6: Final answer
    x = 314,057.53

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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.