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Finding the Fourth Proportional to 279,439.82, 419,053.99 and 119,509.10

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Solution

The fourth proportional to 279,439.82, 419,053.99 and 119,509.10 is: 179,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,439.82 : 419,053.99 = 119,509.10 : x
  2. Step 2: Convert to fraction form
    279,439.82/419,053.99 = 119,509.10/x
  3. Step 3: Cross multiply
    279,439.82x = 419,053.99 × 119,509.10
  4. Step 4: Simplify right side
    279,439.82x = 50,080,765,196.31
  5. Step 5: Solve for x
    x = 50,080,765,196.31/279,439.82
  6. Step 6: Final answer
    x = 179,218.43

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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.