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Finding the Fourth Proportional to 279,796.68, 419,776.97 and 90,253.44

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Solution

The fourth proportional to 279,796.68, 419,776.97 and 90,253.44 is: 135,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,796.68 : 419,776.97 = 90,253.44 : x
  2. Step 2: Convert to fraction form
    279,796.68/419,776.97 = 90,253.44/x
  3. Step 3: Cross multiply
    279,796.68x = 419,776.97 × 90,253.44
  4. Step 4: Simplify right side
    279,796.68x = 37,886,315,124.01
  5. Step 5: Solve for x
    x = 37,886,315,124.01/279,796.68
  6. Step 6: Final answer
    x = 135,406.59

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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.