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Finding the Fourth Proportional to 281,659.80, 422,643.30 and 115,464.60

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Solution

The fourth proportional to 281,659.80, 422,643.30 and 115,464.60 is: 173,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,659.80 : 422,643.30 = 115,464.60 : x
  2. Step 2: Convert to fraction form
    281,659.80/422,643.30 = 115,464.60/x
  3. Step 3: Cross multiply
    281,659.80x = 422,643.30 × 115,464.60
  4. Step 4: Simplify right side
    281,659.80x = 48,800,339,577.18
  5. Step 5: Solve for x
    x = 48,800,339,577.18/281,659.80
  6. Step 6: Final answer
    x = 173,259.87

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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.