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Finding the Fourth Proportional to 396,557.96, 547,253.20 and 219,751.32

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Solution

The fourth proportional to 396,557.96, 547,253.20 and 219,751.32 is: 303,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,557.96 : 547,253.20 = 219,751.32 : x
  2. Step 2: Convert to fraction form
    396,557.96/547,253.20 = 219,751.32/x
  3. Step 3: Cross multiply
    396,557.96x = 547,253.20 × 219,751.32
  4. Step 4: Simplify right side
    396,557.96x = 120,259,614,011.99
  5. Step 5: Solve for x
    x = 120,259,614,011.99/396,557.96
  6. Step 6: Final answer
    x = 303,258.61

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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.