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Finding the Fourth Proportional to 422,297.76, 582,785.10 and 231,321.90

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Solution

The fourth proportional to 422,297.76, 582,785.10 and 231,321.90 is: 319,232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,297.76 : 582,785.10 = 231,321.90 : x
  2. Step 2: Convert to fraction form
    422,297.76/582,785.10 = 231,321.90/x
  3. Step 3: Cross multiply
    422,297.76x = 582,785.10 × 231,321.90
  4. Step 4: Simplify right side
    422,297.76x = 134,810,956,623.69
  5. Step 5: Solve for x
    x = 134,810,956,623.69/422,297.76
  6. Step 6: Final answer
    x = 319,232.00

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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.