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Finding the Fourth Proportional to 279,847.72, 419,507.10 and 111,472

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Solution

The fourth proportional to 279,847.72, 419,507.10 and 111,472 is: 167,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,847.72 : 419,507.10 = 111,472 : x
  2. Step 2: Convert to fraction form
    279,847.72/419,507.10 = 111,472/x
  3. Step 3: Cross multiply
    279,847.72x = 419,507.10 × 111,472
  4. Step 4: Simplify right side
    279,847.72x = 46,763,295,451.20
  5. Step 5: Solve for x
    x = 46,763,295,451.20/279,847.72
  6. Step 6: Final answer
    x = 167,102.65

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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.