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Finding the Fourth Proportional to 512,881.20, 769,321.80 and 512,881.20

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Solution

The fourth proportional to 512,881.20, 769,321.80 and 512,881.20 is: 769,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,881.20 : 769,321.80 = 512,881.20 : x
  2. Step 2: Convert to fraction form
    512,881.20/769,321.80 = 512,881.20/x
  3. Step 3: Cross multiply
    512,881.20x = 769,321.80 × 512,881.20
  4. Step 4: Simplify right side
    512,881.20x = 394,570,687,970.16
  5. Step 5: Solve for x
    x = 394,570,687,970.16/512,881.20
  6. Step 6: Final answer
    x = 769,321.80

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Similar ratio
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1.5x scale

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.