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Finding the Fourth Proportional to 281,843.20, 422,764.80 and 84,825.60

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Solution

The fourth proportional to 281,843.20, 422,764.80 and 84,825.60 is: 127,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,843.20 : 422,764.80 = 84,825.60 : x
  2. Step 2: Convert to fraction form
    281,843.20/422,764.80 = 84,825.60/x
  3. Step 3: Cross multiply
    281,843.20x = 422,764.80 × 84,825.60
  4. Step 4: Simplify right side
    281,843.20x = 35,861,277,818.88
  5. Step 5: Solve for x
    x = 35,861,277,818.88/281,843.20
  6. Step 6: Final answer
    x = 127,238.40

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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.