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Finding the Fourth Proportional to 279,846.72, 419,505.60 and 111,471

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Solution

The fourth proportional to 279,846.72, 419,505.60 and 111,471 is: 167,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,846.72 : 419,505.60 = 111,471 : x
  2. Step 2: Convert to fraction form
    279,846.72/419,505.60 = 111,471/x
  3. Step 3: Cross multiply
    279,846.72x = 419,505.60 × 111,471
  4. Step 4: Simplify right side
    279,846.72x = 46,762,708,737.60
  5. Step 5: Solve for x
    x = 46,762,708,737.60/279,846.72
  6. Step 6: Final answer
    x = 167,101.15

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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.