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Finding the Fourth Proportional to 443,194.20, 664,791.30 and 394,205.40

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Solution

The fourth proportional to 443,194.20, 664,791.30 and 394,205.40 is: 591,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,194.20 : 664,791.30 = 394,205.40 : x
  2. Step 2: Convert to fraction form
    443,194.20/664,791.30 = 394,205.40/x
  3. Step 3: Cross multiply
    443,194.20x = 664,791.30 × 394,205.40
  4. Step 4: Simplify right side
    443,194.20x = 262,064,320,333.02
  5. Step 5: Solve for x
    x = 262,064,320,333.02/443,194.20
  6. Step 6: Final answer
    x = 591,308.10

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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.