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Finding the Fourth Proportional to 396,308.70, 593,448.12 and 218,618.19

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Solution

The fourth proportional to 396,308.70, 593,448.12 and 218,618.19 is: 327,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,308.70 : 593,448.12 = 218,618.19 : x
  2. Step 2: Convert to fraction form
    396,308.70/593,448.12 = 218,618.19/x
  3. Step 3: Cross multiply
    396,308.70x = 593,448.12 × 218,618.19
  4. Step 4: Simplify right side
    396,308.70x = 129,738,553,853.30
  5. Step 5: Solve for x
    x = 129,738,553,853.30/396,308.70
  6. Step 6: Final answer
    x = 327,367.41

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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.