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Finding the Fourth Proportional to 494,727.60, 741,216.60 and 419,494.80

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Solution

The fourth proportional to 494,727.60, 741,216.60 and 419,494.80 is: 628,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,727.60 : 741,216.60 = 419,494.80 : x
  2. Step 2: Convert to fraction form
    494,727.60/741,216.60 = 419,494.80/x
  3. Step 3: Cross multiply
    494,727.60x = 741,216.60 × 419,494.80
  4. Step 4: Simplify right side
    494,727.60x = 310,936,509,373.68
  5. Step 5: Solve for x
    x = 310,936,509,373.68/494,727.60
  6. Step 6: Final answer
    x = 628,500.43

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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.