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Finding the Fourth Proportional to 322,415.82, 481,257.18 and 298,665

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Solution

The fourth proportional to 322,415.82, 481,257.18 and 298,665 is: 445,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,415.82 : 481,257.18 = 298,665 : x
  2. Step 2: Convert to fraction form
    322,415.82/481,257.18 = 298,665/x
  3. Step 3: Cross multiply
    322,415.82x = 481,257.18 × 298,665
  4. Step 4: Simplify right side
    322,415.82x = 143,734,675,664.70
  5. Step 5: Solve for x
    x = 143,734,675,664.70/322,415.82
  6. Step 6: Final answer
    x = 445,805.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.