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Finding the Fourth Proportional to 422,023.22, 582,402.30 and 231,036.02

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Solution

The fourth proportional to 422,023.22, 582,402.30 and 231,036.02 is: 318,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,023.22 : 582,402.30 = 231,036.02 : x
  2. Step 2: Convert to fraction form
    422,023.22/582,402.30 = 231,036.02/x
  3. Step 3: Cross multiply
    422,023.22x = 582,402.30 × 231,036.02
  4. Step 4: Simplify right side
    422,023.22x = 134,555,909,430.85
  5. Step 5: Solve for x
    x = 134,555,909,430.85/422,023.22
  6. Step 6: Final answer
    x = 318,835.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.