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Finding the Fourth Proportional to 279,972.34, 419,960.10 and 69,610.30

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Solution

The fourth proportional to 279,972.34, 419,960.10 and 69,610.30 is: 104,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,972.34 : 419,960.10 = 69,610.30 : x
  2. Step 2: Convert to fraction form
    279,972.34/419,960.10 = 69,610.30/x
  3. Step 3: Cross multiply
    279,972.34x = 419,960.10 × 69,610.30
  4. Step 4: Simplify right side
    279,972.34x = 29,233,548,549.03
  5. Step 5: Solve for x
    x = 29,233,548,549.03/279,972.34
  6. Step 6: Final answer
    x = 104,415.85

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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.