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Finding the Fourth Proportional to 396,820.97, 547,616.95 and 215,536.43

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Solution

The fourth proportional to 396,820.97, 547,616.95 and 215,536.43 is: 297,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,820.97 : 547,616.95 = 215,536.43 : x
  2. Step 2: Convert to fraction form
    396,820.97/547,616.95 = 215,536.43/x
  3. Step 3: Cross multiply
    396,820.97x = 547,616.95 × 215,536.43
  4. Step 4: Simplify right side
    396,820.97x = 118,031,403,240.69
  5. Step 5: Solve for x
    x = 118,031,403,240.69/396,820.97
  6. Step 6: Final answer
    x = 297,442.46

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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.