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Finding the Fourth Proportional to 419,544.48, 628,791.12 and 330,446

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Solution

The fourth proportional to 419,544.48, 628,791.12 and 330,446 is: 495,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,544.48 : 628,791.12 = 330,446 : x
  2. Step 2: Convert to fraction form
    419,544.48/628,791.12 = 330,446/x
  3. Step 3: Cross multiply
    419,544.48x = 628,791.12 × 330,446
  4. Step 4: Simplify right side
    419,544.48x = 207,781,510,439.52
  5. Step 5: Solve for x
    x = 207,781,510,439.52/419,544.48
  6. Step 6: Final answer
    x = 495,255.02

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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.