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Finding the Fourth Proportional to 206,423.20, 309,634.80 and 180,179.20

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Solution

The fourth proportional to 206,423.20, 309,634.80 and 180,179.20 is: 270,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,423.20 : 309,634.80 = 180,179.20 : x
  2. Step 2: Convert to fraction form
    206,423.20/309,634.80 = 180,179.20/x
  3. Step 3: Cross multiply
    206,423.20x = 309,634.80 × 180,179.20
  4. Step 4: Simplify right side
    206,423.20x = 55,789,750,556.16
  5. Step 5: Solve for x
    x = 55,789,750,556.16/206,423.20
  6. Step 6: Final answer
    x = 270,268.80

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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.