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Finding the Fourth Proportional to 521,695.20, 782,542.80 and 311,743.20

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Solution

The fourth proportional to 521,695.20, 782,542.80 and 311,743.20 is: 467,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,695.20 : 782,542.80 = 311,743.20 : x
  2. Step 2: Convert to fraction form
    521,695.20/782,542.80 = 311,743.20/x
  3. Step 3: Cross multiply
    521,695.20x = 782,542.80 × 311,743.20
  4. Step 4: Simplify right side
    521,695.20x = 243,952,396,608.96
  5. Step 5: Solve for x
    x = 243,952,396,608.96/521,695.20
  6. Step 6: Final answer
    x = 467,614.80

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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.