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Finding the Fourth Proportional to 494,714.60, 741,197.10 and 419,481.80

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Solution

The fourth proportional to 494,714.60, 741,197.10 and 419,481.80 is: 628,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,714.60 : 741,197.10 = 419,481.80 : x
  2. Step 2: Convert to fraction form
    494,714.60/741,197.10 = 419,481.80/x
  3. Step 3: Cross multiply
    494,714.60x = 741,197.10 × 419,481.80
  4. Step 4: Simplify right side
    494,714.60x = 310,918,693,662.78
  5. Step 5: Solve for x
    x = 310,918,693,662.78/494,714.60
  6. Step 6: Final answer
    x = 628,480.93

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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.