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Finding the Fourth Proportional to 422,382.92, 582,903.02 and 231,396.28

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Solution

The fourth proportional to 422,382.92, 582,903.02 and 231,396.28 is: 319,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382.92 : 582,903.02 = 231,396.28 : x
  2. Step 2: Convert to fraction form
    422,382.92/582,903.02 = 231,396.28/x
  3. Step 3: Cross multiply
    422,382.92x = 582,903.02 × 231,396.28
  4. Step 4: Simplify right side
    422,382.92x = 134,881,590,428.77
  5. Step 5: Solve for x
    x = 134,881,590,428.77/422,382.92
  6. Step 6: Final answer
    x = 319,334.86

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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.