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Finding the Fourth Proportional to 542,591.76, 813,625.20 and 187,481.28

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Solution

The fourth proportional to 542,591.76, 813,625.20 and 187,481.28 is: 281,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,591.76 : 813,625.20 = 187,481.28 : x
  2. Step 2: Convert to fraction form
    542,591.76/813,625.20 = 187,481.28/x
  3. Step 3: Cross multiply
    542,591.76x = 813,625.20 × 187,481.28
  4. Step 4: Simplify right side
    542,591.76x = 152,539,493,936.26
  5. Step 5: Solve for x
    x = 152,539,493,936.26/542,591.76
  6. Step 6: Final answer
    x = 281,131.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.