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Finding the Fourth Proportional to 396,869.29, 595,385.95 and 130,645.78

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Solution

The fourth proportional to 396,869.29, 595,385.95 and 130,645.78 is: 195,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,869.29 : 595,385.95 = 130,645.78 : x
  2. Step 2: Convert to fraction form
    396,869.29/595,385.95 = 130,645.78/x
  3. Step 3: Cross multiply
    396,869.29x = 595,385.95 × 130,645.78
  4. Step 4: Simplify right side
    396,869.29x = 77,784,661,838.79
  5. Step 5: Solve for x
    x = 77,784,661,838.79/396,869.29
  6. Step 6: Final answer
    x = 195,995.67

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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.