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Finding the Fourth Proportional to 220,813.44, 304,728 and 120,216.96

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Solution

The fourth proportional to 220,813.44, 304,728 and 120,216.96 is: 165,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,813.44 : 304,728 = 120,216.96 : x
  2. Step 2: Convert to fraction form
    220,813.44/304,728 = 120,216.96/x
  3. Step 3: Cross multiply
    220,813.44x = 304,728 × 120,216.96
  4. Step 4: Simplify right side
    220,813.44x = 36,633,473,786.88
  5. Step 5: Solve for x
    x = 36,633,473,786.88/220,813.44
  6. Step 6: Final answer
    x = 165,902.37

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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.