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Finding the Fourth Proportional to 291,032.28, 435,915.72 and 178,372.44

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Solution

The fourth proportional to 291,032.28, 435,915.72 and 178,372.44 is: 267,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,032.28 : 435,915.72 = 178,372.44 : x
  2. Step 2: Convert to fraction form
    291,032.28/435,915.72 = 178,372.44/x
  3. Step 3: Cross multiply
    291,032.28x = 435,915.72 × 178,372.44
  4. Step 4: Simplify right side
    291,032.28x = 77,755,350,610.76
  5. Step 5: Solve for x
    x = 77,755,350,610.76/291,032.28
  6. Step 6: Final answer
    x = 267,170.88

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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.