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Finding the Fourth Proportional to 396,308.50, 594,112.82 and 303,229.78

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Solution

The fourth proportional to 396,308.50, 594,112.82 and 303,229.78 is: 454,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,308.50 : 594,112.82 = 303,229.78 : x
  2. Step 2: Convert to fraction form
    396,308.50/594,112.82 = 303,229.78/x
  3. Step 3: Cross multiply
    396,308.50x = 594,112.82 × 303,229.78
  4. Step 4: Simplify right side
    396,308.50x = 180,152,699,703.78
  5. Step 5: Solve for x
    x = 180,152,699,703.78/396,308.50
  6. Step 6: Final answer
    x = 454,576.93

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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.