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Finding the Fourth Proportional to 396,448, 547,102.32 and 215,161.48

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Solution

The fourth proportional to 396,448, 547,102.32 and 215,161.48 is: 296,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,448 : 547,102.32 = 215,161.48 : x
  2. Step 2: Convert to fraction form
    396,448/547,102.32 = 215,161.48/x
  3. Step 3: Cross multiply
    396,448x = 547,102.32 × 215,161.48
  4. Step 4: Simplify right side
    396,448x = 117,715,344,882.63
  5. Step 5: Solve for x
    x = 117,715,344,882.63/396,448
  6. Step 6: Final answer
    x = 296,925.06

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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.