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Finding the Fourth Proportional to 494,673.60, 741,135.60 and 419,440.80

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Solution

The fourth proportional to 494,673.60, 741,135.60 and 419,440.80 is: 628,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,673.60 : 741,135.60 = 419,440.80 : x
  2. Step 2: Convert to fraction form
    494,673.60/741,135.60 = 419,440.80/x
  3. Step 3: Cross multiply
    494,673.60x = 741,135.60 × 419,440.80
  4. Step 4: Simplify right side
    494,673.60x = 310,862,508,972.48
  5. Step 5: Solve for x
    x = 310,862,508,972.48/494,673.60
  6. Step 6: Final answer
    x = 628,419.44

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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.