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Finding the Fourth Proportional to 422,059.87, 582,419.55 and 231,036.31

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Solution

The fourth proportional to 422,059.87, 582,419.55 and 231,036.31 is: 318,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,059.87 : 582,419.55 = 231,036.31 : x
  2. Step 2: Convert to fraction form
    422,059.87/582,419.55 = 231,036.31/x
  3. Step 3: Cross multiply
    422,059.87x = 582,419.55 × 231,036.31
  4. Step 4: Simplify right side
    422,059.87x = 134,560,063,703.86
  5. Step 5: Solve for x
    x = 134,560,063,703.86/422,059.87
  6. Step 6: Final answer
    x = 318,817.48

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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.