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Finding the Fourth Proportional to 361,576.78, 542,146.40 and 161,859.94

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Solution

The fourth proportional to 361,576.78, 542,146.40 and 161,859.94 is: 242,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,576.78 : 542,146.40 = 161,859.94 : x
  2. Step 2: Convert to fraction form
    361,576.78/542,146.40 = 161,859.94/x
  3. Step 3: Cross multiply
    361,576.78x = 542,146.40 × 161,859.94
  4. Step 4: Simplify right side
    361,576.78x = 87,751,782,217.53
  5. Step 5: Solve for x
    x = 87,751,782,217.53/361,576.78
  6. Step 6: Final answer
    x = 242,691.97

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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.