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Finding the Fourth Proportional to 485,227.32, 727,884.84 and 185,695.80

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Solution

The fourth proportional to 485,227.32, 727,884.84 and 185,695.80 is: 278,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,227.32 : 727,884.84 = 185,695.80 : x
  2. Step 2: Convert to fraction form
    485,227.32/727,884.84 = 185,695.80/x
  3. Step 3: Cross multiply
    485,227.32x = 727,884.84 × 185,695.80
  4. Step 4: Simplify right side
    485,227.32x = 135,165,157,671.67
  5. Step 5: Solve for x
    x = 135,165,157,671.67/485,227.32
  6. Step 6: Final answer
    x = 278,560.49

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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.