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Finding the Fourth Proportional to 422,022.12, 582,403.64 and 231,053.28

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Solution

The fourth proportional to 422,022.12, 582,403.64 and 231,053.28 is: 318,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,022.12 : 582,403.64 = 231,053.28 : x
  2. Step 2: Convert to fraction form
    422,022.12/582,403.64 = 231,053.28/x
  3. Step 3: Cross multiply
    422,022.12x = 582,403.64 × 231,053.28
  4. Step 4: Simplify right side
    422,022.12x = 134,566,271,305.94
  5. Step 5: Solve for x
    x = 134,566,271,305.94/422,022.12
  6. Step 6: Final answer
    x = 318,860.71

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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.