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Finding the Fourth Proportional to 220,813, 304,722 and 120,211

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Solution

The fourth proportional to 220,813, 304,722 and 120,211 is: 165,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,813 : 304,722 = 120,211 : x
  2. Step 2: Convert to fraction form
    220,813/304,722 = 120,211/x
  3. Step 3: Cross multiply
    220,813x = 304,722 × 120,211
  4. Step 4: Simplify right side
    220,813x = 36,630,936,342
  5. Step 5: Solve for x
    x = 36,630,936,342/220,813
  6. Step 6: Final answer
    x = 165,891.21

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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.