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Finding the Fourth Proportional to 491,989.92, 738,088.56 and 159,540

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Solution

The fourth proportional to 491,989.92, 738,088.56 and 159,540 is: 239,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,989.92 : 738,088.56 = 159,540 : x
  2. Step 2: Convert to fraction form
    491,989.92/738,088.56 = 159,540/x
  3. Step 3: Cross multiply
    491,989.92x = 738,088.56 × 159,540
  4. Step 4: Simplify right side
    491,989.92x = 117,754,648,862.40
  5. Step 5: Solve for x
    x = 117,754,648,862.40/491,989.92
  6. Step 6: Final answer
    x = 239,343.62

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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.