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Finding the Fourth Proportional to 396,422.88, 594,466.60 and 159,702

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Solution

The fourth proportional to 396,422.88, 594,466.60 and 159,702 is: 239,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,422.88 : 594,466.60 = 159,702 : x
  2. Step 2: Convert to fraction form
    396,422.88/594,466.60 = 159,702/x
  3. Step 3: Cross multiply
    396,422.88x = 594,466.60 × 159,702
  4. Step 4: Simplify right side
    396,422.88x = 94,937,504,953.20
  5. Step 5: Solve for x
    x = 94,937,504,953.20/396,422.88
  6. Step 6: Final answer
    x = 239,485.43

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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.