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Finding the Fourth Proportional to 279,857.08, 419,851.28 and 111,387.64

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Solution

The fourth proportional to 279,857.08, 419,851.28 and 111,387.64 is: 167,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,857.08 : 419,851.28 = 111,387.64 : x
  2. Step 2: Convert to fraction form
    279,857.08/419,851.28 = 111,387.64/x
  3. Step 3: Cross multiply
    279,857.08x = 419,851.28 × 111,387.64
  4. Step 4: Simplify right side
    279,857.08x = 46,766,243,230.18
  5. Step 5: Solve for x
    x = 46,766,243,230.18/279,857.08
  6. Step 6: Final answer
    x = 167,107.59

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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.