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Finding the Fourth Proportional to 276,249.40, 414,215.34 and 134,045.80

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Solution

The fourth proportional to 276,249.40, 414,215.34 and 134,045.80 is: 200,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,249.40 : 414,215.34 = 134,045.80 : x
  2. Step 2: Convert to fraction form
    276,249.40/414,215.34 = 134,045.80/x
  3. Step 3: Cross multiply
    276,249.40x = 414,215.34 × 134,045.80
  4. Step 4: Simplify right side
    276,249.40x = 55,523,826,622.57
  5. Step 5: Solve for x
    x = 55,523,826,622.57/276,249.40
  6. Step 6: Final answer
    x = 200,991.66

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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.