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Finding the Fourth Proportional to 422,300.53, 582,774.87 and 231,320.80

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Solution

The fourth proportional to 422,300.53, 582,774.87 and 231,320.80 is: 319,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,300.53 : 582,774.87 = 231,320.80 : x
  2. Step 2: Convert to fraction form
    422,300.53/582,774.87 = 231,320.80/x
  3. Step 3: Cross multiply
    422,300.53x = 582,774.87 × 231,320.80
  4. Step 4: Simplify right side
    422,300.53x = 134,807,949,148.30
  5. Step 5: Solve for x
    x = 134,807,949,148.30/422,300.53
  6. Step 6: Final answer
    x = 319,222.78

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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.