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Finding the Fourth Proportional to 442,677.40, 664,361.70 and 206,049.40

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Solution

The fourth proportional to 442,677.40, 664,361.70 and 206,049.40 is: 309,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,677.40 : 664,361.70 = 206,049.40 : x
  2. Step 2: Convert to fraction form
    442,677.40/664,361.70 = 206,049.40/x
  3. Step 3: Cross multiply
    442,677.40x = 664,361.70 × 206,049.40
  4. Step 4: Simplify right side
    442,677.40x = 136,891,329,667.98
  5. Step 5: Solve for x
    x = 136,891,329,667.98/442,677.40
  6. Step 6: Final answer
    x = 309,234.96

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1.5x scale

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.