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Finding the Fourth Proportional to 652,821.28, 978,640.72 and 231,998.72

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Solution

The fourth proportional to 652,821.28, 978,640.72 and 231,998.72 is: 347,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,821.28 : 978,640.72 = 231,998.72 : x
  2. Step 2: Convert to fraction form
    652,821.28/978,640.72 = 231,998.72/x
  3. Step 3: Cross multiply
    652,821.28x = 978,640.72 × 231,998.72
  4. Step 4: Simplify right side
    652,821.28x = 227,043,394,379.88
  5. Step 5: Solve for x
    x = 227,043,394,379.88/652,821.28
  6. Step 6: Final answer
    x = 347,787.98

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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.