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Finding the Fourth Proportional to 361,921.86, 542,529.80 and 172,331.29

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Solution

The fourth proportional to 361,921.86, 542,529.80 and 172,331.29 is: 258,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,921.86 : 542,529.80 = 172,331.29 : x
  2. Step 2: Convert to fraction form
    361,921.86/542,529.80 = 172,331.29/x
  3. Step 3: Cross multiply
    361,921.86x = 542,529.80 × 172,331.29
  4. Step 4: Simplify right side
    361,921.86x = 93,494,858,079.46
  5. Step 5: Solve for x
    x = 93,494,858,079.46/361,921.86
  6. Step 6: Final answer
    x = 258,328.85

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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.