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Finding the Fourth Proportional to 422,401.77, 582,447.42 and 269,197.43

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Solution

The fourth proportional to 422,401.77, 582,447.42 and 269,197.43 is: 371,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,401.77 : 582,447.42 = 269,197.43 : x
  2. Step 2: Convert to fraction form
    422,401.77/582,447.42 = 269,197.43/x
  3. Step 3: Cross multiply
    422,401.77x = 582,447.42 × 269,197.43
  4. Step 4: Simplify right side
    422,401.77x = 156,793,345,661.89
  5. Step 5: Solve for x
    x = 156,793,345,661.89/422,401.77
  6. Step 6: Final answer
    x = 371,194.81

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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.