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Finding the Fourth Proportional to 656,375.60, 984,512.20 and 256,938.80

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Solution

The fourth proportional to 656,375.60, 984,512.20 and 256,938.80 is: 385,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,375.60 : 984,512.20 = 256,938.80 : x
  2. Step 2: Convert to fraction form
    656,375.60/984,512.20 = 256,938.80/x
  3. Step 3: Cross multiply
    656,375.60x = 984,512.20 × 256,938.80
  4. Step 4: Simplify right side
    656,375.60x = 252,959,383,253.36
  5. Step 5: Solve for x
    x = 252,959,383,253.36/656,375.60
  6. Step 6: Final answer
    x = 385,388.16

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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.