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Finding the Fourth Proportional to 396,512, 547,177.90 and 215,224.28

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Solution

The fourth proportional to 396,512, 547,177.90 and 215,224.28 is: 297,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,512 : 547,177.90 = 215,224.28 : x
  2. Step 2: Convert to fraction form
    396,512/547,177.90 = 215,224.28/x
  3. Step 3: Cross multiply
    396,512x = 547,177.90 × 215,224.28
  4. Step 4: Simplify right side
    396,512x = 117,765,969,559.41
  5. Step 5: Solve for x
    x = 117,765,969,559.41/396,512
  6. Step 6: Final answer
    x = 297,004.81

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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.