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Finding the Fourth Proportional to 414,452.40, 622,139.40 and 256,858.80

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Solution

The fourth proportional to 414,452.40, 622,139.40 and 256,858.80 is: 385,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,452.40 : 622,139.40 = 256,858.80 : x
  2. Step 2: Convert to fraction form
    414,452.40/622,139.40 = 256,858.80/x
  3. Step 3: Cross multiply
    414,452.40x = 622,139.40 × 256,858.80
  4. Step 4: Simplify right side
    414,452.40x = 159,801,979,716.72
  5. Step 5: Solve for x
    x = 159,801,979,716.72/414,452.40
  6. Step 6: Final answer
    x = 385,573.78

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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.