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Finding the Fourth Proportional to 276,809.39, 381,996.94 and 149,484.98

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Solution

The fourth proportional to 276,809.39, 381,996.94 and 149,484.98 is: 206,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,809.39 : 381,996.94 = 149,484.98 : x
  2. Step 2: Convert to fraction form
    276,809.39/381,996.94 = 149,484.98/x
  3. Step 3: Cross multiply
    276,809.39x = 381,996.94 × 149,484.98
  4. Step 4: Simplify right side
    276,809.39x = 57,102,804,935.96
  5. Step 5: Solve for x
    x = 57,102,804,935.96/276,809.39
  6. Step 6: Final answer
    x = 206,289.26

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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.