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Finding the Fourth Proportional to 279,593.88, 419,089.14 and 137,273.64

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Solution

The fourth proportional to 279,593.88, 419,089.14 and 137,273.64 is: 205,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,593.88 : 419,089.14 = 137,273.64 : x
  2. Step 2: Convert to fraction form
    279,593.88/419,089.14 = 137,273.64/x
  3. Step 3: Cross multiply
    279,593.88x = 419,089.14 × 137,273.64
  4. Step 4: Simplify right side
    279,593.88x = 57,529,891,732.27
  5. Step 5: Solve for x
    x = 57,529,891,732.27/279,593.88
  6. Step 6: Final answer
    x = 205,762.34

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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.