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Finding the Fourth Proportional to 512,517.60, 768,776.40 and 488,023.20

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Solution

The fourth proportional to 512,517.60, 768,776.40 and 488,023.20 is: 732,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,517.60 : 768,776.40 = 488,023.20 : x
  2. Step 2: Convert to fraction form
    512,517.60/768,776.40 = 488,023.20/x
  3. Step 3: Cross multiply
    512,517.60x = 768,776.40 × 488,023.20
  4. Step 4: Simplify right side
    512,517.60x = 375,180,718,812.48
  5. Step 5: Solve for x
    x = 375,180,718,812.48/512,517.60
  6. Step 6: Final answer
    x = 732,034.80

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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.