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Finding the Fourth Proportional to 381,753.60, 573,213.60 and 263,947.20

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Solution

The fourth proportional to 381,753.60, 573,213.60 and 263,947.20 is: 396,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,753.60 : 573,213.60 = 263,947.20 : x
  2. Step 2: Convert to fraction form
    381,753.60/573,213.60 = 263,947.20/x
  3. Step 3: Cross multiply
    381,753.60x = 573,213.60 × 263,947.20
  4. Step 4: Simplify right side
    381,753.60x = 151,298,124,721.92
  5. Step 5: Solve for x
    x = 151,298,124,721.92/381,753.60
  6. Step 6: Final answer
    x = 396,324.03

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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.