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Finding the Fourth Proportional to 279,745.79, 419,812.47 and 111,248.84

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Solution

The fourth proportional to 279,745.79, 419,812.47 and 111,248.84 is: 166,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,745.79 : 419,812.47 = 111,248.84 : x
  2. Step 2: Convert to fraction form
    279,745.79/419,812.47 = 111,248.84/x
  3. Step 3: Cross multiply
    279,745.79x = 419,812.47 × 111,248.84
  4. Step 4: Simplify right side
    279,745.79x = 46,703,651,354.57
  5. Step 5: Solve for x
    x = 46,703,651,354.57/279,745.79
  6. Step 6: Final answer
    x = 166,950.33

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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.