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Finding the Fourth Proportional to 275,446.19, 412,781.29 and 219,035.96

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Solution

The fourth proportional to 275,446.19, 412,781.29 and 219,035.96 is: 328,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,446.19 : 412,781.29 = 219,035.96 : x
  2. Step 2: Convert to fraction form
    275,446.19/412,781.29 = 219,035.96/x
  3. Step 3: Cross multiply
    275,446.19x = 412,781.29 × 219,035.96
  4. Step 4: Simplify right side
    275,446.19x = 90,413,946,609.55
  5. Step 5: Solve for x
    x = 90,413,946,609.55/275,446.19
  6. Step 6: Final answer
    x = 328,245.41

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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.