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Finding the Fourth Proportional to 276,810.95, 381,999.11 and 149,486.54

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Solution

The fourth proportional to 276,810.95, 381,999.11 and 149,486.54 is: 206,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810.95 : 381,999.11 = 149,486.54 : x
  2. Step 2: Convert to fraction form
    276,810.95/381,999.11 = 149,486.54/x
  3. Step 3: Cross multiply
    276,810.95x = 381,999.11 × 149,486.54
  4. Step 4: Simplify right side
    276,810.95x = 57,103,723,326.98
  5. Step 5: Solve for x
    x = 57,103,723,326.98/276,810.95
  6. Step 6: Final answer
    x = 206,291.42

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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.