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Finding the Fourth Proportional to 454,082.88, 681,122.40 and 138,538.72

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Solution

The fourth proportional to 454,082.88, 681,122.40 and 138,538.72 is: 207,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,082.88 : 681,122.40 = 138,538.72 : x
  2. Step 2: Convert to fraction form
    454,082.88/681,122.40 = 138,538.72/x
  3. Step 3: Cross multiply
    454,082.88x = 681,122.40 × 138,538.72
  4. Step 4: Simplify right side
    454,082.88x = 94,361,825,459.33
  5. Step 5: Solve for x
    x = 94,361,825,459.33/454,082.88
  6. Step 6: Final answer
    x = 207,807.49

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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.