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Finding the Fourth Proportional to 361,921.11, 542,528.67 and 172,330.54

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Solution

The fourth proportional to 361,921.11, 542,528.67 and 172,330.54 is: 258,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,921.11 : 542,528.67 = 172,330.54 : x
  2. Step 2: Convert to fraction form
    361,921.11/542,528.67 = 172,330.54/x
  3. Step 3: Cross multiply
    361,921.11x = 542,528.67 × 172,330.54
  4. Step 4: Simplify right side
    361,921.11x = 93,494,257,714.16
  5. Step 5: Solve for x
    x = 93,494,257,714.16/361,921.11
  6. Step 6: Final answer
    x = 258,327.73

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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.