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Finding the Fourth Proportional to 381,649.50, 572,736.69 and 132,331.50

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Solution

The fourth proportional to 381,649.50, 572,736.69 and 132,331.50 is: 198,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,649.50 : 572,736.69 = 132,331.50 : x
  2. Step 2: Convert to fraction form
    381,649.50/572,736.69 = 132,331.50/x
  3. Step 3: Cross multiply
    381,649.50x = 572,736.69 × 132,331.50
  4. Step 4: Simplify right side
    381,649.50x = 75,791,105,292.74
  5. Step 5: Solve for x
    x = 75,791,105,292.74/381,649.50
  6. Step 6: Final answer
    x = 198,588.25

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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.