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Finding the Fourth Proportional to 397,040.28, 547,915.17 and 215,751.78

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Solution

The fourth proportional to 397,040.28, 547,915.17 and 215,751.78 is: 297,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,040.28 : 547,915.17 = 215,751.78 : x
  2. Step 2: Convert to fraction form
    397,040.28/547,915.17 = 215,751.78/x
  3. Step 3: Cross multiply
    397,040.28x = 547,915.17 × 215,751.78
  4. Step 4: Simplify right side
    397,040.28x = 118,213,672,261.92
  5. Step 5: Solve for x
    x = 118,213,672,261.92/397,040.28
  6. Step 6: Final answer
    x = 297,737.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.