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Finding the Fourth Proportional to 220,801, 304,705.44 and 120,199

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Solution

The fourth proportional to 220,801, 304,705.44 and 120,199 is: 165,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,801 : 304,705.44 = 120,199 : x
  2. Step 2: Convert to fraction form
    220,801/304,705.44 = 120,199/x
  3. Step 3: Cross multiply
    220,801x = 304,705.44 × 120,199
  4. Step 4: Simplify right side
    220,801x = 36,625,289,182.56
  5. Step 5: Solve for x
    x = 36,625,289,182.56/220,801
  6. Step 6: Final answer
    x = 165,874.65

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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.