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Finding the Fourth Proportional to 279,757.80, 419,629.14 and 69,393.24

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Solution

The fourth proportional to 279,757.80, 419,629.14 and 69,393.24 is: 104,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,757.80 : 419,629.14 = 69,393.24 : x
  2. Step 2: Convert to fraction form
    279,757.80/419,629.14 = 69,393.24/x
  3. Step 3: Cross multiply
    279,757.80x = 419,629.14 × 69,393.24
  4. Step 4: Simplify right side
    279,757.80x = 29,119,425,623.01
  5. Step 5: Solve for x
    x = 29,119,425,623.01/279,757.80
  6. Step 6: Final answer
    x = 104,087.98

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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.