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Finding the Fourth Proportional to 216,377.92, 324,092.16 and 178,512

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Solution

The fourth proportional to 216,377.92, 324,092.16 and 178,512 is: 267,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,377.92 : 324,092.16 = 178,512 : x
  2. Step 2: Convert to fraction form
    216,377.92/324,092.16 = 178,512/x
  3. Step 3: Cross multiply
    216,377.92x = 324,092.16 × 178,512
  4. Step 4: Simplify right side
    216,377.92x = 57,854,339,665.92
  5. Step 5: Solve for x
    x = 57,854,339,665.92/216,377.92
  6. Step 6: Final answer
    x = 267,376.36

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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.