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Finding the Fourth Proportional to 281,646.16, 422,469.87 and 68,413.12

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Solution

The fourth proportional to 281,646.16, 422,469.87 and 68,413.12 is: 102,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,646.16 : 422,469.87 = 68,413.12 : x
  2. Step 2: Convert to fraction form
    281,646.16/422,469.87 = 68,413.12/x
  3. Step 3: Cross multiply
    281,646.16x = 422,469.87 × 68,413.12
  4. Step 4: Simplify right side
    281,646.16x = 28,902,481,912.69
  5. Step 5: Solve for x
    x = 28,902,481,912.69/281,646.16
  6. Step 6: Final answer
    x = 102,619.83

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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.