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Finding the Fourth Proportional to 422,321.72, 582,804.12 and 231,338.24

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Solution

The fourth proportional to 422,321.72, 582,804.12 and 231,338.24 is: 319,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,321.72 : 582,804.12 = 231,338.24 : x
  2. Step 2: Convert to fraction form
    422,321.72/582,804.12 = 231,338.24/x
  3. Step 3: Cross multiply
    422,321.72x = 582,804.12 × 231,338.24
  4. Step 4: Simplify right side
    422,321.72x = 134,824,879,385.55
  5. Step 5: Solve for x
    x = 134,824,879,385.55/422,321.72
  6. Step 6: Final answer
    x = 319,246.85

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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.