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Finding the Fourth Proportional to 361,357.28, 542,220.96 and 172,031.84

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Solution

The fourth proportional to 361,357.28, 542,220.96 and 172,031.84 is: 258,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,357.28 : 542,220.96 = 172,031.84 : x
  2. Step 2: Convert to fraction form
    361,357.28/542,220.96 = 172,031.84/x
  3. Step 3: Cross multiply
    361,357.28x = 542,220.96 × 172,031.84
  4. Step 4: Simplify right side
    361,357.28x = 93,279,269,435.37
  5. Step 5: Solve for x
    x = 93,279,269,435.37/361,357.28
  6. Step 6: Final answer
    x = 258,135.85

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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.