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Finding the Fourth Proportional to 396,005.79, 593,978.84 and 126,123.04

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Solution

The fourth proportional to 396,005.79, 593,978.84 and 126,123.04 is: 189,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,005.79 : 593,978.84 = 126,123.04 : x
  2. Step 2: Convert to fraction form
    396,005.79/593,978.84 = 126,123.04/x
  3. Step 3: Cross multiply
    396,005.79x = 593,978.84 × 126,123.04
  4. Step 4: Simplify right side
    396,005.79x = 74,914,416,365.86
  5. Step 5: Solve for x
    x = 74,914,416,365.86/396,005.79
  6. Step 6: Final answer
    x = 189,175.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.