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Finding the Fourth Proportional to 454,416.52, 681,599.92 and 138,873.28

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Solution

The fourth proportional to 454,416.52, 681,599.92 and 138,873.28 is: 208,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,416.52 : 681,599.92 = 138,873.28 : x
  2. Step 2: Convert to fraction form
    454,416.52/681,599.92 = 138,873.28/x
  3. Step 3: Cross multiply
    454,416.52x = 681,599.92 × 138,873.28
  4. Step 4: Simplify right side
    454,416.52x = 94,656,016,538.14
  5. Step 5: Solve for x
    x = 94,656,016,538.14/454,416.52
  6. Step 6: Final answer
    x = 208,302.32

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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.