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Finding the Fourth Proportional to 276,861.81, 382,069.53 and 149,537.52

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Solution

The fourth proportional to 276,861.81, 382,069.53 and 149,537.52 is: 206,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,861.81 : 382,069.53 = 149,537.52 : x
  2. Step 2: Convert to fraction form
    276,861.81/382,069.53 = 149,537.52/x
  3. Step 3: Cross multiply
    276,861.81x = 382,069.53 × 149,537.52
  4. Step 4: Simplify right side
    276,861.81x = 57,133,729,983.77
  5. Step 5: Solve for x
    x = 57,133,729,983.77/276,861.81
  6. Step 6: Final answer
    x = 206,361.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.