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Finding the Fourth Proportional to 276,810, 381,997.80 and 149,485.60

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Solution

The fourth proportional to 276,810, 381,997.80 and 149,485.60 is: 206,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810 : 381,997.80 = 149,485.60 : x
  2. Step 2: Convert to fraction form
    276,810/381,997.80 = 149,485.60/x
  3. Step 3: Cross multiply
    276,810x = 381,997.80 × 149,485.60
  4. Step 4: Simplify right side
    276,810x = 57,103,170,331.68
  5. Step 5: Solve for x
    x = 57,103,170,331.68/276,810
  6. Step 6: Final answer
    x = 206,290.13

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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.