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Finding the Fourth Proportional to 276,810.86, 381,998.98 and 149,486.44

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Solution

The fourth proportional to 276,810.86, 381,998.98 and 149,486.44 is: 206,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810.86 : 381,998.98 = 149,486.44 : x
  2. Step 2: Convert to fraction form
    276,810.86/381,998.98 = 149,486.44/x
  3. Step 3: Cross multiply
    276,810.86x = 381,998.98 × 149,486.44
  4. Step 4: Simplify right side
    276,810.86x = 57,103,667,603.83
  5. Step 5: Solve for x
    x = 57,103,667,603.83/276,810.86
  6. Step 6: Final answer
    x = 206,291.29

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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.