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Finding the Fourth Proportional to 276,313.31, 414,469.94 and 76,633.70

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Solution

The fourth proportional to 276,313.31, 414,469.94 and 76,633.70 is: 114,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,313.31 : 414,469.94 = 76,633.70 : x
  2. Step 2: Convert to fraction form
    276,313.31/414,469.94 = 76,633.70/x
  3. Step 3: Cross multiply
    276,313.31x = 414,469.94 × 76,633.70
  4. Step 4: Simplify right side
    276,313.31x = 31,762,365,040.98
  5. Step 5: Solve for x
    x = 31,762,365,040.98/276,313.31
  6. Step 6: Final answer
    x = 114,950.54

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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.