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Finding the Fourth Proportional to 443,182.32, 664,314.21 and 206,330.22

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Solution

The fourth proportional to 443,182.32, 664,314.21 and 206,330.22 is: 309,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,182.32 : 664,314.21 = 206,330.22 : x
  2. Step 2: Convert to fraction form
    443,182.32/664,314.21 = 206,330.22/x
  3. Step 3: Cross multiply
    443,182.32x = 664,314.21 × 206,330.22
  4. Step 4: Simplify right side
    443,182.32x = 137,068,097,098.43
  5. Step 5: Solve for x
    x = 137,068,097,098.43/443,182.32
  6. Step 6: Final answer
    x = 309,281.51

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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.