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Finding the Fourth Proportional to 422,220.30, 582,642.42 and 231,196.80

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Solution

The fourth proportional to 422,220.30, 582,642.42 and 231,196.80 is: 319,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,220.30 : 582,642.42 = 231,196.80 : x
  2. Step 2: Convert to fraction form
    422,220.30/582,642.42 = 231,196.80/x
  3. Step 3: Cross multiply
    422,220.30x = 582,642.42 × 231,196.80
  4. Step 4: Simplify right side
    422,220.30x = 134,705,063,048.26
  5. Step 5: Solve for x
    x = 134,705,063,048.26/422,220.30
  6. Step 6: Final answer
    x = 319,039.76

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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.