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Finding the Fourth Proportional to 422,288.64, 582,733.44 and 231,264

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Solution

The fourth proportional to 422,288.64, 582,733.44 and 231,264 is: 319,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,288.64 : 582,733.44 = 231,264 : x
  2. Step 2: Convert to fraction form
    422,288.64/582,733.44 = 231,264/x
  3. Step 3: Cross multiply
    422,288.64x = 582,733.44 × 231,264
  4. Step 4: Simplify right side
    422,288.64x = 134,765,266,268.16
  5. Step 5: Solve for x
    x = 134,765,266,268.16/422,288.64
  6. Step 6: Final answer
    x = 319,130.69

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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.