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Finding the Fourth Proportional to 422,359.71, 582,863.01 and 231,360.49

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Solution

The fourth proportional to 422,359.71, 582,863.01 and 231,360.49 is: 319,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,359.71 : 582,863.01 = 231,360.49 : x
  2. Step 2: Convert to fraction form
    422,359.71/582,863.01 = 231,360.49/x
  3. Step 3: Cross multiply
    422,359.71x = 582,863.01 × 231,360.49
  4. Step 4: Simplify right side
    422,359.71x = 134,851,470,439.67
  5. Step 5: Solve for x
    x = 134,851,470,439.67/422,359.71
  6. Step 6: Final answer
    x = 319,281.10

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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.