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Finding the Fourth Proportional to 491,987.92, 738,085.56 and 159,538

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Solution

The fourth proportional to 491,987.92, 738,085.56 and 159,538 is: 239,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,987.92 : 738,085.56 = 159,538 : x
  2. Step 2: Convert to fraction form
    491,987.92/738,085.56 = 159,538/x
  3. Step 3: Cross multiply
    491,987.92x = 738,085.56 × 159,538
  4. Step 4: Simplify right side
    491,987.92x = 117,752,694,071.28
  5. Step 5: Solve for x
    x = 117,752,694,071.28/491,987.92
  6. Step 6: Final answer
    x = 239,340.62

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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.