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Finding the Fourth Proportional to 327,651.66, 491,668.47 and 138,100.41

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Solution

The fourth proportional to 327,651.66, 491,668.47 and 138,100.41 is: 207,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,651.66 : 491,668.47 = 138,100.41 : x
  2. Step 2: Convert to fraction form
    327,651.66/491,668.47 = 138,100.41/x
  3. Step 3: Cross multiply
    327,651.66x = 491,668.47 × 138,100.41
  4. Step 4: Simplify right side
    327,651.66x = 67,899,617,291.07
  5. Step 5: Solve for x
    x = 67,899,617,291.07/327,651.66
  6. Step 6: Final answer
    x = 207,231.11

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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.