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Finding the Fourth Proportional to 279,633.84, 419,474.94 and 77,230.02

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Solution

The fourth proportional to 279,633.84, 419,474.94 and 77,230.02 is: 115,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,633.84 : 419,474.94 = 77,230.02 : x
  2. Step 2: Convert to fraction form
    279,633.84/419,474.94 = 77,230.02/x
  3. Step 3: Cross multiply
    279,633.84x = 419,474.94 × 77,230.02
  4. Step 4: Simplify right side
    279,633.84x = 32,396,058,005.70
  5. Step 5: Solve for x
    x = 32,396,058,005.70/279,633.84
  6. Step 6: Final answer
    x = 115,851.71

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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.