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Finding the Fourth Proportional to 279,996.44, 420,129.81 and 137,764.58

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Solution

The fourth proportional to 279,996.44, 420,129.81 and 137,764.58 is: 206,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,996.44 : 420,129.81 = 137,764.58 : x
  2. Step 2: Convert to fraction form
    279,996.44/420,129.81 = 137,764.58/x
  3. Step 3: Cross multiply
    279,996.44x = 420,129.81 × 137,764.58
  4. Step 4: Simplify right side
    279,996.44x = 57,879,004,719.48
  5. Step 5: Solve for x
    x = 57,879,004,719.48/279,996.44
  6. Step 6: Final answer
    x = 206,713.36

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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.