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Finding the Fourth Proportional to 279,971.34, 419,958.60 and 69,609.30

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Solution

The fourth proportional to 279,971.34, 419,958.60 and 69,609.30 is: 104,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,971.34 : 419,958.60 = 69,609.30 : x
  2. Step 2: Convert to fraction form
    279,971.34/419,958.60 = 69,609.30/x
  3. Step 3: Cross multiply
    279,971.34x = 419,958.60 × 69,609.30
  4. Step 4: Simplify right side
    279,971.34x = 29,233,024,174.98
  5. Step 5: Solve for x
    x = 29,233,024,174.98/279,971.34
  6. Step 6: Final answer
    x = 104,414.35

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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.