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Finding the Fourth Proportional to 414,456.40, 622,145.40 and 256,862.80

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Solution

The fourth proportional to 414,456.40, 622,145.40 and 256,862.80 is: 385,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,456.40 : 622,145.40 = 256,862.80 : x
  2. Step 2: Convert to fraction form
    414,456.40/622,145.40 = 256,862.80/x
  3. Step 3: Cross multiply
    414,456.40x = 622,145.40 × 256,862.80
  4. Step 4: Simplify right side
    414,456.40x = 159,806,009,451.12
  5. Step 5: Solve for x
    x = 159,806,009,451.12/414,456.40
  6. Step 6: Final answer
    x = 385,579.78

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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.