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Finding the Fourth Proportional to 414,480.40, 622,181.40 and 256,886.80

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Solution

The fourth proportional to 414,480.40, 622,181.40 and 256,886.80 is: 385,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,480.40 : 622,181.40 = 256,886.80 : x
  2. Step 2: Convert to fraction form
    414,480.40/622,181.40 = 256,886.80/x
  3. Step 3: Cross multiply
    414,480.40x = 622,181.40 × 256,886.80
  4. Step 4: Simplify right side
    414,480.40x = 159,830,188,865.52
  5. Step 5: Solve for x
    x = 159,830,188,865.52/414,480.40
  6. Step 6: Final answer
    x = 385,615.79

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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.