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Finding the Fourth Proportional to 276,301.80, 414,452.70 and 206,317.80

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Solution

The fourth proportional to 276,301.80, 414,452.70 and 206,317.80 is: 309,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,301.80 : 414,452.70 = 206,317.80 : x
  2. Step 2: Convert to fraction form
    276,301.80/414,452.70 = 206,317.80/x
  3. Step 3: Cross multiply
    276,301.80x = 414,452.70 × 206,317.80
  4. Step 4: Simplify right side
    276,301.80x = 85,508,969,268.06
  5. Step 5: Solve for x
    x = 85,508,969,268.06/276,301.80
  6. Step 6: Final answer
    x = 309,476.70

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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.