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Finding the Fourth Proportional to 275,311.78, 412,888.29 and 75,638.68

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Solution

The fourth proportional to 275,311.78, 412,888.29 and 75,638.68 is: 113,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,311.78 : 412,888.29 = 75,638.68 : x
  2. Step 2: Convert to fraction form
    275,311.78/412,888.29 = 75,638.68/x
  3. Step 3: Cross multiply
    275,311.78x = 412,888.29 × 75,638.68
  4. Step 4: Simplify right side
    275,311.78x = 31,230,325,243.06
  5. Step 5: Solve for x
    x = 31,230,325,243.06/275,311.78
  6. Step 6: Final answer
    x = 113,436.21

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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.