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Finding the Fourth Proportional to 327,355.83, 491,153.70 and 137,863.91

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Solution

The fourth proportional to 327,355.83, 491,153.70 and 137,863.91 is: 206,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,355.83 : 491,153.70 = 137,863.91 : x
  2. Step 2: Convert to fraction form
    327,355.83/491,153.70 = 137,863.91/x
  3. Step 3: Cross multiply
    327,355.83x = 491,153.70 × 137,863.91
  4. Step 4: Simplify right side
    327,355.83x = 67,712,367,037.20
  5. Step 5: Solve for x
    x = 67,712,367,037.20/327,355.83
  6. Step 6: Final answer
    x = 206,846.38

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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.