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Finding the Fourth Proportional to 442,921.80, 664,382.70 and 206,288.40

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Solution

The fourth proportional to 442,921.80, 664,382.70 and 206,288.40 is: 309,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,921.80 : 664,382.70 = 206,288.40 : x
  2. Step 2: Convert to fraction form
    442,921.80/664,382.70 = 206,288.40/x
  3. Step 3: Cross multiply
    442,921.80x = 664,382.70 × 206,288.40
  4. Step 4: Simplify right side
    442,921.80x = 137,054,444,170.68
  5. Step 5: Solve for x
    x = 137,054,444,170.68/442,921.80
  6. Step 6: Final answer
    x = 309,432.60

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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.