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Finding the Fourth Proportional to 327,548.88, 491,326.56 and 138,041.28

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Solution

The fourth proportional to 327,548.88, 491,326.56 and 138,041.28 is: 207,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,548.88 : 491,326.56 = 138,041.28 : x
  2. Step 2: Convert to fraction form
    327,548.88/491,326.56 = 138,041.28/x
  3. Step 3: Cross multiply
    327,548.88x = 491,326.56 × 138,041.28
  4. Step 4: Simplify right side
    327,548.88x = 67,823,347,240.40
  5. Step 5: Solve for x
    x = 67,823,347,240.40/327,548.88
  6. Step 6: Final answer
    x = 207,063.29

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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.