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Finding the Fourth Proportional to 396,543.96, 547,240.35 and 215,255.40

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Solution

The fourth proportional to 396,543.96, 547,240.35 and 215,255.40 is: 297,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,543.96 : 547,240.35 = 215,255.40 : x
  2. Step 2: Convert to fraction form
    396,543.96/547,240.35 = 215,255.40/x
  3. Step 3: Cross multiply
    396,543.96x = 547,240.35 × 215,255.40
  4. Step 4: Simplify right side
    396,543.96x = 117,796,440,435.39
  5. Step 5: Solve for x
    x = 117,796,440,435.39/396,543.96
  6. Step 6: Final answer
    x = 297,057.71

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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.