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Finding the Fourth Proportional to 327,737.84, 491,797.56 and 138,186.32

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Solution

The fourth proportional to 327,737.84, 491,797.56 and 138,186.32 is: 207,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,737.84 : 491,797.56 = 138,186.32 : x
  2. Step 2: Convert to fraction form
    327,737.84/491,797.56 = 138,186.32/x
  3. Step 3: Cross multiply
    327,737.84x = 491,797.56 × 138,186.32
  4. Step 4: Simplify right side
    327,737.84x = 67,959,695,001.38
  5. Step 5: Solve for x
    x = 67,959,695,001.38/327,737.84
  6. Step 6: Final answer
    x = 207,359.93

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1.5x scale

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.