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Finding the Fourth Proportional to 422,416, 582,790.56 and 240,997.60

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Solution

The fourth proportional to 422,416, 582,790.56 and 240,997.60 is: 332,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,416 : 582,790.56 = 240,997.60 : x
  2. Step 2: Convert to fraction form
    422,416/582,790.56 = 240,997.60/x
  3. Step 3: Cross multiply
    422,416x = 582,790.56 × 240,997.60
  4. Step 4: Simplify right side
    422,416x = 140,451,126,262.66
  5. Step 5: Solve for x
    x = 140,451,126,262.66/422,416
  6. Step 6: Final answer
    x = 332,494.81

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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.