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Finding the Fourth Proportional to 279,882.56, 419,849.01 and 90,347.42

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Solution

The fourth proportional to 279,882.56, 419,849.01 and 90,347.42 is: 135,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,882.56 : 419,849.01 = 90,347.42 : x
  2. Step 2: Convert to fraction form
    279,882.56/419,849.01 = 90,347.42/x
  3. Step 3: Cross multiply
    279,882.56x = 419,849.01 × 90,347.42
  4. Step 4: Simplify right side
    279,882.56x = 37,932,272,743.81
  5. Step 5: Solve for x
    x = 37,932,272,743.81/279,882.56
  6. Step 6: Final answer
    x = 135,529.25

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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.