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Finding the Fourth Proportional to 422,339.88, 582,828.98 and 231,353.22

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Solution

The fourth proportional to 422,339.88, 582,828.98 and 231,353.22 is: 319,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,339.88 : 582,828.98 = 231,353.22 : x
  2. Step 2: Convert to fraction form
    422,339.88/582,828.98 = 231,353.22/x
  3. Step 3: Cross multiply
    422,339.88x = 582,828.98 × 231,353.22
  4. Step 4: Simplify right side
    422,339.88x = 134,839,361,232.32
  5. Step 5: Solve for x
    x = 134,839,361,232.32/422,339.88
  6. Step 6: Final answer
    x = 319,267.41

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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.