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Finding the Fourth Proportional to 396,481.64, 547,139.48 and 215,200.40

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Solution

The fourth proportional to 396,481.64, 547,139.48 and 215,200.40 is: 296,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,481.64 : 547,139.48 = 215,200.40 : x
  2. Step 2: Convert to fraction form
    396,481.64/547,139.48 = 215,200.40/x
  3. Step 3: Cross multiply
    396,481.64x = 547,139.48 × 215,200.40
  4. Step 4: Simplify right side
    396,481.64x = 117,744,631,140.09
  5. Step 5: Solve for x
    x = 117,744,631,140.09/396,481.64
  6. Step 6: Final answer
    x = 296,973.73

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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.