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Finding the Fourth Proportional to 279,992.84, 419,521.74 and 196,737.80

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Solution

The fourth proportional to 279,992.84, 419,521.74 and 196,737.80 is: 294,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,992.84 : 419,521.74 = 196,737.80 : x
  2. Step 2: Convert to fraction form
    279,992.84/419,521.74 = 196,737.80/x
  3. Step 3: Cross multiply
    279,992.84x = 419,521.74 × 196,737.80
  4. Step 4: Simplify right side
    279,992.84x = 82,535,784,179.77
  5. Step 5: Solve for x
    x = 82,535,784,179.77/279,992.84
  6. Step 6: Final answer
    x = 294,778.20

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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.