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Finding the Fourth Proportional to 253,432.80, 380,149.20 and 66,463.20

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Solution

The fourth proportional to 253,432.80, 380,149.20 and 66,463.20 is: 99,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,432.80 : 380,149.20 = 66,463.20 : x
  2. Step 2: Convert to fraction form
    253,432.80/380,149.20 = 66,463.20/x
  3. Step 3: Cross multiply
    253,432.80x = 380,149.20 × 66,463.20
  4. Step 4: Simplify right side
    253,432.80x = 25,265,932,309.44
  5. Step 5: Solve for x
    x = 25,265,932,309.44/253,432.80
  6. Step 6: Final answer
    x = 99,694.80

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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.