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Finding the Fourth Proportional to 387,234.88, 580,531.56 and 147,298.84

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Solution

The fourth proportional to 387,234.88, 580,531.56 and 147,298.84 is: 220,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,234.88 : 580,531.56 = 147,298.84 : x
  2. Step 2: Convert to fraction form
    387,234.88/580,531.56 = 147,298.84/x
  3. Step 3: Cross multiply
    387,234.88x = 580,531.56 × 147,298.84
  4. Step 4: Simplify right side
    387,234.88x = 85,511,625,371.39
  5. Step 5: Solve for x
    x = 85,511,625,371.39/387,234.88
  6. Step 6: Final answer
    x = 220,826.25

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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.