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Finding the Fourth Proportional to 206,575.20, 309,862.80 and 188,204.40

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Solution

The fourth proportional to 206,575.20, 309,862.80 and 188,204.40 is: 282,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,575.20 : 309,862.80 = 188,204.40 : x
  2. Step 2: Convert to fraction form
    206,575.20/309,862.80 = 188,204.40/x
  3. Step 3: Cross multiply
    206,575.20x = 309,862.80 × 188,204.40
  4. Step 4: Simplify right side
    206,575.20x = 58,317,542,356.32
  5. Step 5: Solve for x
    x = 58,317,542,356.32/206,575.20
  6. Step 6: Final answer
    x = 282,306.60

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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.