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Finding the Fourth Proportional to 428,310.80, 641,765.28 and 259,318.88

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Solution

The fourth proportional to 428,310.80, 641,765.28 and 259,318.88 is: 388,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,310.80 : 641,765.28 = 259,318.88 : x
  2. Step 2: Convert to fraction form
    428,310.80/641,765.28 = 259,318.88/x
  3. Step 3: Cross multiply
    428,310.80x = 641,765.28 × 259,318.88
  4. Step 4: Simplify right side
    428,310.80x = 166,421,853,632.49
  5. Step 5: Solve for x
    x = 166,421,853,632.49/428,310.80
  6. Step 6: Final answer
    x = 388,553.95

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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.