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Finding the Fourth Proportional to 443,190.20, 664,785.30 and 394,201.40

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Solution

The fourth proportional to 443,190.20, 664,785.30 and 394,201.40 is: 591,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,190.20 : 664,785.30 = 394,201.40 : x
  2. Step 2: Convert to fraction form
    443,190.20/664,785.30 = 394,201.40/x
  3. Step 3: Cross multiply
    443,190.20x = 664,785.30 × 394,201.40
  4. Step 4: Simplify right side
    443,190.20x = 262,059,295,959.42
  5. Step 5: Solve for x
    x = 262,059,295,959.42/443,190.20
  6. Step 6: Final answer
    x = 591,302.10

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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.