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Finding the Fourth Proportional to 289,512.20, 433,346.70 and 206,568.20

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Solution

The fourth proportional to 289,512.20, 433,346.70 and 206,568.20 is: 309,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,512.20 : 433,346.70 = 206,568.20 : x
  2. Step 2: Convert to fraction form
    289,512.20/433,346.70 = 206,568.20/x
  3. Step 3: Cross multiply
    289,512.20x = 433,346.70 × 206,568.20
  4. Step 4: Simplify right side
    289,512.20x = 89,515,647,794.94
  5. Step 5: Solve for x
    x = 89,515,647,794.94/289,512.20
  6. Step 6: Final answer
    x = 309,194.73

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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.