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Finding the Fourth Proportional to 422,364.78, 582,877.92 and 231,378.12

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Solution

The fourth proportional to 422,364.78, 582,877.92 and 231,378.12 is: 319,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,364.78 : 582,877.92 = 231,378.12 : x
  2. Step 2: Convert to fraction form
    422,364.78/582,877.92 = 231,378.12/x
  3. Step 3: Cross multiply
    422,364.78x = 582,877.92 × 231,378.12
  4. Step 4: Simplify right side
    422,364.78x = 134,865,197,319.11
  5. Step 5: Solve for x
    x = 134,865,197,319.11/422,364.78
  6. Step 6: Final answer
    x = 319,309.76

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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.