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Finding the Fourth Proportional to 279,891.03, 419,902.46 and 111,420.96

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Solution

The fourth proportional to 279,891.03, 419,902.46 and 111,420.96 is: 167,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,891.03 : 419,902.46 = 111,420.96 : x
  2. Step 2: Convert to fraction form
    279,891.03/419,902.46 = 111,420.96/x
  3. Step 3: Cross multiply
    279,891.03x = 419,902.46 × 111,420.96
  4. Step 4: Simplify right side
    279,891.03x = 46,785,935,199.56
  5. Step 5: Solve for x
    x = 46,785,935,199.56/279,891.03
  6. Step 6: Final answer
    x = 167,157.68

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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.