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Finding the Fourth Proportional to 422,100, 582,512.94 and 231,114.96

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Solution

The fourth proportional to 422,100, 582,512.94 and 231,114.96 is: 318,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,100 : 582,512.94 = 231,114.96 : x
  2. Step 2: Convert to fraction form
    422,100/582,512.94 = 231,114.96/x
  3. Step 3: Cross multiply
    422,100x = 582,512.94 × 231,114.96
  4. Step 4: Simplify right side
    422,100x = 134,627,454,827.58
  5. Step 5: Solve for x
    x = 134,627,454,827.58/422,100
  6. Step 6: Final answer
    x = 318,946.82

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1.5x scale

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.