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Finding the Fourth Proportional to 392,515.20, 588,422.88 and 326,496.96

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Solution

The fourth proportional to 392,515.20, 588,422.88 and 326,496.96 is: 489,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,515.20 : 588,422.88 = 326,496.96 : x
  2. Step 2: Convert to fraction form
    392,515.20/588,422.88 = 326,496.96/x
  3. Step 3: Cross multiply
    392,515.20x = 588,422.88 × 326,496.96
  4. Step 4: Simplify right side
    392,515.20x = 192,118,281,514.45
  5. Step 5: Solve for x
    x = 192,118,281,514.45/392,515.20
  6. Step 6: Final answer
    x = 489,454.37

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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.