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Finding the Fourth Proportional to 279,971.21, 419,956.69 and 69,609.14

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Solution

The fourth proportional to 279,971.21, 419,956.69 and 69,609.14 is: 104,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,971.21 : 419,956.69 = 69,609.14 : x
  2. Step 2: Convert to fraction form
    279,971.21/419,956.69 = 69,609.14/x
  3. Step 3: Cross multiply
    279,971.21x = 419,956.69 × 69,609.14
  4. Step 4: Simplify right side
    279,971.21x = 29,232,824,028.15
  5. Step 5: Solve for x
    x = 29,232,824,028.15/279,971.21
  6. Step 6: Final answer
    x = 104,413.68

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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.