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Finding the Fourth Proportional to 542,694.72, 814,042.14 and 187,515

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Solution

The fourth proportional to 542,694.72, 814,042.14 and 187,515 is: 281,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,694.72 : 814,042.14 = 187,515 : x
  2. Step 2: Convert to fraction form
    542,694.72/814,042.14 = 187,515/x
  3. Step 3: Cross multiply
    542,694.72x = 814,042.14 × 187,515
  4. Step 4: Simplify right side
    542,694.72x = 152,645,111,882.10
  5. Step 5: Solve for x
    x = 152,645,111,882.10/542,694.72
  6. Step 6: Final answer
    x = 281,272.52

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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.