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Finding the Fourth Proportional to 279,705.56, 419,392.38 and 111,135.44

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Solution

The fourth proportional to 279,705.56, 419,392.38 and 111,135.44 is: 166,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,705.56 : 419,392.38 = 111,135.44 : x
  2. Step 2: Convert to fraction form
    279,705.56/419,392.38 = 111,135.44/x
  3. Step 3: Cross multiply
    279,705.56x = 419,392.38 × 111,135.44
  4. Step 4: Simplify right side
    279,705.56x = 46,609,356,683.95
  5. Step 5: Solve for x
    x = 46,609,356,683.95/279,705.56
  6. Step 6: Final answer
    x = 166,637.22

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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.