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Finding the Fourth Proportional to 276,813.59, 382,002.78 and 149,489.19

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Solution

The fourth proportional to 276,813.59, 382,002.78 and 149,489.19 is: 206,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,813.59 : 382,002.78 = 149,489.19 : x
  2. Step 2: Convert to fraction form
    276,813.59/382,002.78 = 149,489.19/x
  3. Step 3: Cross multiply
    276,813.59x = 382,002.78 × 149,489.19
  4. Step 4: Simplify right side
    276,813.59x = 57,105,284,249.93
  5. Step 5: Solve for x
    x = 57,105,284,249.93/276,813.59
  6. Step 6: Final answer
    x = 206,295.09

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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.