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Finding the Fourth Proportional to 279,978.50, 419,969.37 and 69,616.44

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Solution

The fourth proportional to 279,978.50, 419,969.37 and 69,616.44 is: 104,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,978.50 : 419,969.37 = 69,616.44 : x
  2. Step 2: Convert to fraction form
    279,978.50/419,969.37 = 69,616.44/x
  3. Step 3: Cross multiply
    279,978.50x = 419,969.37 × 69,616.44
  4. Step 4: Simplify right side
    279,978.50x = 29,236,772,709.50
  5. Step 5: Solve for x
    x = 29,236,772,709.50/279,978.50
  6. Step 6: Final answer
    x = 104,425.06

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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.