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Finding the Fourth Proportional to 422,307.44, 582,763.56 and 231,321.68

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Solution

The fourth proportional to 422,307.44, 582,763.56 and 231,321.68 is: 319,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,307.44 : 582,763.56 = 231,321.68 : x
  2. Step 2: Convert to fraction form
    422,307.44/582,763.56 = 231,321.68/x
  3. Step 3: Cross multiply
    422,307.44x = 582,763.56 × 231,321.68
  4. Step 4: Simplify right side
    422,307.44x = 134,805,845,741.98
  5. Step 5: Solve for x
    x = 134,805,845,741.98/422,307.44
  6. Step 6: Final answer
    x = 319,212.58

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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.