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Finding the Fourth Proportional to 396,494.43, 547,162.81 and 215,206.43

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Solution

The fourth proportional to 396,494.43, 547,162.81 and 215,206.43 is: 296,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,494.43 : 547,162.81 = 215,206.43 : x
  2. Step 2: Convert to fraction form
    396,494.43/547,162.81 = 215,206.43/x
  3. Step 3: Cross multiply
    396,494.43x = 547,162.81 × 215,206.43
  4. Step 4: Simplify right side
    396,494.43x = 117,752,951,157.02
  5. Step 5: Solve for x
    x = 117,752,951,157.02/396,494.43
  6. Step 6: Final answer
    x = 296,985.13

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1.5x scale

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.