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Finding the Fourth Proportional to 361,456.44, 542,370.52 and 172,131.48

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Solution

The fourth proportional to 361,456.44, 542,370.52 and 172,131.48 is: 258,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,456.44 : 542,370.52 = 172,131.48 : x
  2. Step 2: Convert to fraction form
    361,456.44/542,370.52 = 172,131.48/x
  3. Step 3: Cross multiply
    361,456.44x = 542,370.52 × 172,131.48
  4. Step 4: Simplify right side
    361,456.44x = 93,359,040,315.97
  5. Step 5: Solve for x
    x = 93,359,040,315.97/361,456.44
  6. Step 6: Final answer
    x = 258,285.73

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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.