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Finding the Fourth Proportional to 396,409.47, 547,049.08 and 215,122.96

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Solution

The fourth proportional to 396,409.47, 547,049.08 and 215,122.96 is: 296,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,409.47 : 547,049.08 = 215,122.96 : x
  2. Step 2: Convert to fraction form
    396,409.47/547,049.08 = 215,122.96/x
  3. Step 3: Cross multiply
    396,409.47x = 547,049.08 × 215,122.96
  4. Step 4: Simplify right side
    396,409.47x = 117,682,819,543.65
  5. Step 5: Solve for x
    x = 117,682,819,543.65/396,409.47
  6. Step 6: Final answer
    x = 296,871.87

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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.