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Finding the Fourth Proportional to 274,888.53, 412,357.40 and 75,209.96

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Solution

The fourth proportional to 274,888.53, 412,357.40 and 75,209.96 is: 112,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,888.53 : 412,357.40 = 75,209.96 : x
  2. Step 2: Convert to fraction form
    274,888.53/412,357.40 = 75,209.96/x
  3. Step 3: Cross multiply
    274,888.53x = 412,357.40 × 75,209.96
  4. Step 4: Simplify right side
    274,888.53x = 31,013,381,121.87
  5. Step 5: Solve for x
    x = 31,013,381,121.87/274,888.53
  6. Step 6: Final answer
    x = 112,821.66

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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.