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Finding the Fourth Proportional to 396,348.26, 594,522.80 and 185,986.40

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Solution

The fourth proportional to 396,348.26, 594,522.80 and 185,986.40 is: 278,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,348.26 : 594,522.80 = 185,986.40 : x
  2. Step 2: Convert to fraction form
    396,348.26/594,522.80 = 185,986.40/x
  3. Step 3: Cross multiply
    396,348.26x = 594,522.80 × 185,986.40
  4. Step 4: Simplify right side
    396,348.26x = 110,573,155,289.92
  5. Step 5: Solve for x
    x = 110,573,155,289.92/396,348.26
  6. Step 6: Final answer
    x = 278,979.79

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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.