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Finding the Fourth Proportional to 279,885.94, 419,894.52 and 111,416.56

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Solution

The fourth proportional to 279,885.94, 419,894.52 and 111,416.56 is: 167,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,885.94 : 419,894.52 = 111,416.56 : x
  2. Step 2: Convert to fraction form
    279,885.94/419,894.52 = 111,416.56/x
  3. Step 3: Cross multiply
    279,885.94x = 419,894.52 × 111,416.56
  4. Step 4: Simplify right side
    279,885.94x = 46,783,202,981.25
  5. Step 5: Solve for x
    x = 46,783,202,981.25/279,885.94
  6. Step 6: Final answer
    x = 167,150.96

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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.