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Finding the Fourth Proportional to 396,302.80, 594,447.32 and 159,639.43

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Solution

The fourth proportional to 396,302.80, 594,447.32 and 159,639.43 is: 239,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,302.80 : 594,447.32 = 159,639.43 : x
  2. Step 2: Convert to fraction form
    396,302.80/594,447.32 = 159,639.43/x
  3. Step 3: Cross multiply
    396,302.80x = 594,447.32 × 159,639.43
  4. Step 4: Simplify right side
    396,302.80x = 94,897,231,329.83
  5. Step 5: Solve for x
    x = 94,897,231,329.83/396,302.80
  6. Step 6: Final answer
    x = 239,456.37

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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.