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Finding the Fourth Proportional to 327,701.12, 491,742.74 and 138,149.89

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Solution

The fourth proportional to 327,701.12, 491,742.74 and 138,149.89 is: 207,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,701.12 : 491,742.74 = 138,149.89 : x
  2. Step 2: Convert to fraction form
    327,701.12/491,742.74 = 138,149.89/x
  3. Step 3: Cross multiply
    327,701.12x = 491,742.74 × 138,149.89
  4. Step 4: Simplify right side
    327,701.12x = 67,934,204,555.32
  5. Step 5: Solve for x
    x = 67,934,204,555.32/327,701.12
  6. Step 6: Final answer
    x = 207,305.38

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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.