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Finding the Fourth Proportional to 381,694.80, 572,542.20 and 378,195.60

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Solution

The fourth proportional to 381,694.80, 572,542.20 and 378,195.60 is: 567,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,694.80 : 572,542.20 = 378,195.60 : x
  2. Step 2: Convert to fraction form
    381,694.80/572,542.20 = 378,195.60/x
  3. Step 3: Cross multiply
    381,694.80x = 572,542.20 × 378,195.60
  4. Step 4: Simplify right side
    381,694.80x = 216,532,940,854.32
  5. Step 5: Solve for x
    x = 216,532,940,854.32/381,694.80
  6. Step 6: Final answer
    x = 567,293.40

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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.