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Finding the Fourth Proportional to 443,430.40, 664,380.15 and 206,286.70

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Solution

The fourth proportional to 443,430.40, 664,380.15 and 206,286.70 is: 309,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,430.40 : 664,380.15 = 206,286.70 : x
  2. Step 2: Convert to fraction form
    443,430.40/664,380.15 = 206,286.70/x
  3. Step 3: Cross multiply
    443,430.40x = 664,380.15 × 206,286.70
  4. Step 4: Simplify right side
    443,430.40x = 137,052,788,689.01
  5. Step 5: Solve for x
    x = 137,052,788,689.01/443,430.40
  6. Step 6: Final answer
    x = 309,073.96

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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.