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Finding the Fourth Proportional to 392,613.20, 588,228.60 and 322,110.80

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Solution

The fourth proportional to 392,613.20, 588,228.60 and 322,110.80 is: 482,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,613.20 : 588,228.60 = 322,110.80 : x
  2. Step 2: Convert to fraction form
    392,613.20/588,228.60 = 322,110.80/x
  3. Step 3: Cross multiply
    392,613.20x = 588,228.60 × 322,110.80
  4. Step 4: Simplify right side
    392,613.20x = 189,474,784,928.88
  5. Step 5: Solve for x
    x = 189,474,784,928.88/392,613.20
  6. Step 6: Final answer
    x = 482,599.12

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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.