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Finding the Fourth Proportional to 512,867.60, 768,613.73 and 399,152.71

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Solution

The fourth proportional to 512,867.60, 768,613.73 and 399,152.71 is: 598,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,867.60 : 768,613.73 = 399,152.71 : x
  2. Step 2: Convert to fraction form
    512,867.60/768,613.73 = 399,152.71/x
  3. Step 3: Cross multiply
    512,867.60x = 768,613.73 × 399,152.71
  4. Step 4: Simplify right side
    512,867.60x = 306,794,253,734.54
  5. Step 5: Solve for x
    x = 306,794,253,734.54/512,867.60
  6. Step 6: Final answer
    x = 598,193.87

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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.