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Finding the Fourth Proportional to 396,907.48, 547,742.82 and 227,196.28

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Solution

The fourth proportional to 396,907.48, 547,742.82 and 227,196.28 is: 313,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,907.48 : 547,742.82 = 227,196.28 : x
  2. Step 2: Convert to fraction form
    396,907.48/547,742.82 = 227,196.28/x
  3. Step 3: Cross multiply
    396,907.48x = 547,742.82 × 227,196.28
  4. Step 4: Simplify right side
    396,907.48x = 124,445,131,100.71
  5. Step 5: Solve for x
    x = 124,445,131,100.71/396,907.48
  6. Step 6: Final answer
    x = 313,536.88

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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.