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Finding the Fourth Proportional to 381,775.20, 572,739.60 and 132,405.60

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Solution

The fourth proportional to 381,775.20, 572,739.60 and 132,405.60 is: 198,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,775.20 : 572,739.60 = 132,405.60 : x
  2. Step 2: Convert to fraction form
    381,775.20/572,739.60 = 132,405.60/x
  3. Step 3: Cross multiply
    381,775.20x = 572,739.60 × 132,405.60
  4. Step 4: Simplify right side
    381,775.20x = 75,833,930,381.76
  5. Step 5: Solve for x
    x = 75,833,930,381.76/381,775.20
  6. Step 6: Final answer
    x = 198,635.04

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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.