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Finding the Fourth Proportional to 381,657.50, 572,748.69 and 132,339.50

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Solution

The fourth proportional to 381,657.50, 572,748.69 and 132,339.50 is: 198,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,657.50 : 572,748.69 = 132,339.50 : x
  2. Step 2: Convert to fraction form
    381,657.50/572,748.69 = 132,339.50/x
  3. Step 3: Cross multiply
    381,657.50x = 572,748.69 × 132,339.50
  4. Step 4: Simplify right side
    381,657.50x = 75,797,275,260.26
  5. Step 5: Solve for x
    x = 75,797,275,260.26/381,657.50
  6. Step 6: Final answer
    x = 198,600.25

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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.