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Finding the Fourth Proportional to 279,885.44, 419,893.77 and 111,416.06

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Solution

The fourth proportional to 279,885.44, 419,893.77 and 111,416.06 is: 167,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,885.44 : 419,893.77 = 111,416.06 : x
  2. Step 2: Convert to fraction form
    279,885.44/419,893.77 = 111,416.06/x
  3. Step 3: Cross multiply
    279,885.44x = 419,893.77 × 111,416.06
  4. Step 4: Simplify right side
    279,885.44x = 46,782,909,471.95
  5. Step 5: Solve for x
    x = 46,782,909,471.95/279,885.44
  6. Step 6: Final answer
    x = 167,150.21

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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.