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Finding the Fourth Proportional to 342,448.97, 513,761.09 and 200,413.85

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Solution

The fourth proportional to 342,448.97, 513,761.09 and 200,413.85 is: 300,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,448.97 : 513,761.09 = 200,413.85 : x
  2. Step 2: Convert to fraction form
    342,448.97/513,761.09 = 200,413.85/x
  3. Step 3: Cross multiply
    342,448.97x = 513,761.09 × 200,413.85
  4. Step 4: Simplify right side
    342,448.97x = 102,964,834,456.22
  5. Step 5: Solve for x
    x = 102,964,834,456.22/342,448.97
  6. Step 6: Final answer
    x = 300,672.06

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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.