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Finding the Fourth Proportional to 491,990.92, 738,090.06 and 159,541

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Solution

The fourth proportional to 491,990.92, 738,090.06 and 159,541 is: 239,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,990.92 : 738,090.06 = 159,541 : x
  2. Step 2: Convert to fraction form
    491,990.92/738,090.06 = 159,541/x
  3. Step 3: Cross multiply
    491,990.92x = 738,090.06 × 159,541
  4. Step 4: Simplify right side
    491,990.92x = 117,755,626,262.46
  5. Step 5: Solve for x
    x = 117,755,626,262.46/491,990.92
  6. Step 6: Final answer
    x = 239,345.12

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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.