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Finding the Fourth Proportional to 422,051.68, 582,409.20 and 231,028.48

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Solution

The fourth proportional to 422,051.68, 582,409.20 and 231,028.48 is: 318,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,051.68 : 582,409.20 = 231,028.48 : x
  2. Step 2: Convert to fraction form
    422,051.68/582,409.20 = 231,028.48/x
  3. Step 3: Cross multiply
    422,051.68x = 582,409.20 × 231,028.48
  4. Step 4: Simplify right side
    422,051.68x = 134,553,112,214.02
  5. Step 5: Solve for x
    x = 134,553,112,214.02/422,051.68
  6. Step 6: Final answer
    x = 318,807.19

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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.