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Finding the Fourth Proportional to 443,203.56, 664,805.34 and 206,711.64

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Solution

The fourth proportional to 443,203.56, 664,805.34 and 206,711.64 is: 310,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,203.56 : 664,805.34 = 206,711.64 : x
  2. Step 2: Convert to fraction form
    443,203.56/664,805.34 = 206,711.64/x
  3. Step 3: Cross multiply
    443,203.56x = 664,805.34 × 206,711.64
  4. Step 4: Simplify right side
    443,203.56x = 137,423,002,112.16
  5. Step 5: Solve for x
    x = 137,423,002,112.16/443,203.56
  6. Step 6: Final answer
    x = 310,067.46

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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.