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Finding the Fourth Proportional to 422,072.37, 582,436.80 and 231,048.81

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Solution

The fourth proportional to 422,072.37, 582,436.80 and 231,048.81 is: 318,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,072.37 : 582,436.80 = 231,048.81 : x
  2. Step 2: Convert to fraction form
    422,072.37/582,436.80 = 231,048.81/x
  3. Step 3: Cross multiply
    422,072.37x = 582,436.80 × 231,048.81
  4. Step 4: Simplify right side
    422,072.37x = 134,571,329,540.21
  5. Step 5: Solve for x
    x = 134,571,329,540.21/422,072.37
  6. Step 6: Final answer
    x = 318,834.73

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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.