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Finding the Fourth Proportional to 422,148.56, 582,543.29 and 231,125.00

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Solution

The fourth proportional to 422,148.56, 582,543.29 and 231,125.00 is: 318,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,148.56 : 582,543.29 = 231,125.00 : x
  2. Step 2: Convert to fraction form
    422,148.56/582,543.29 = 231,125.00/x
  3. Step 3: Cross multiply
    422,148.56x = 582,543.29 × 231,125.00
  4. Step 4: Simplify right side
    422,148.56x = 134,640,315,566.35
  5. Step 5: Solve for x
    x = 134,640,315,566.35/422,148.56
  6. Step 6: Final answer
    x = 318,940.61

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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.