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Finding the Fourth Proportional to 206,506.80, 309,322.80 and 143,258.76

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Solution

The fourth proportional to 206,506.80, 309,322.80 and 143,258.76 is: 214,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,506.80 : 309,322.80 = 143,258.76 : x
  2. Step 2: Convert to fraction form
    206,506.80/309,322.80 = 143,258.76/x
  3. Step 3: Cross multiply
    206,506.80x = 309,322.80 × 143,258.76
  4. Step 4: Simplify right side
    206,506.80x = 44,313,200,767.73
  5. Step 5: Solve for x
    x = 44,313,200,767.73/206,506.80
  6. Step 6: Final answer
    x = 214,584.71

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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.