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Finding the Fourth Proportional to 422,359.68, 582,635.40 and 261,163.20

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Solution

The fourth proportional to 422,359.68, 582,635.40 and 261,163.20 is: 360,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,359.68 : 582,635.40 = 261,163.20 : x
  2. Step 2: Convert to fraction form
    422,359.68/582,635.40 = 261,163.20/x
  3. Step 3: Cross multiply
    422,359.68x = 582,635.40 × 261,163.20
  4. Step 4: Simplify right side
    422,359.68x = 152,162,925,497.28
  5. Step 5: Solve for x
    x = 152,162,925,497.28/422,359.68
  6. Step 6: Final answer
    x = 360,268.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.