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Finding the Fourth Proportional to 327,549.88, 491,328.06 and 138,042.28

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Solution

The fourth proportional to 327,549.88, 491,328.06 and 138,042.28 is: 207,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,549.88 : 491,328.06 = 138,042.28 : x
  2. Step 2: Convert to fraction form
    327,549.88/491,328.06 = 138,042.28/x
  3. Step 3: Cross multiply
    327,549.88x = 491,328.06 × 138,042.28
  4. Step 4: Simplify right side
    327,549.88x = 67,824,045,630.38
  5. Step 5: Solve for x
    x = 67,824,045,630.38/327,549.88
  6. Step 6: Final answer
    x = 207,064.79

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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.