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Finding the Fourth Proportional to 428,382.82, 641,873.24 and 259,391.30

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Solution

The fourth proportional to 428,382.82, 641,873.24 and 259,391.30 is: 388,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,382.82 : 641,873.24 = 259,391.30 : x
  2. Step 2: Convert to fraction form
    428,382.82/641,873.24 = 259,391.30/x
  3. Step 3: Cross multiply
    428,382.82x = 641,873.24 × 259,391.30
  4. Step 4: Simplify right side
    428,382.82x = 166,496,332,861.86
  5. Step 5: Solve for x
    x = 166,496,332,861.86/428,382.82
  6. Step 6: Final answer
    x = 388,662.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.