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Finding the Fourth Proportional to 396,300, 594,325.22 and 129,998.64

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Solution

The fourth proportional to 396,300, 594,325.22 and 129,998.64 is: 194,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,300 : 594,325.22 = 129,998.64 : x
  2. Step 2: Convert to fraction form
    396,300/594,325.22 = 129,998.64/x
  3. Step 3: Cross multiply
    396,300x = 594,325.22 × 129,998.64
  4. Step 4: Simplify right side
    396,300x = 77,261,469,667.71
  5. Step 5: Solve for x
    x = 77,261,469,667.71/396,300
  6. Step 6: Final answer
    x = 194,957.03

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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.