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Finding the Fourth Proportional to 206,474.36, 308,928.81 and 122,279.72

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Solution

The fourth proportional to 206,474.36, 308,928.81 and 122,279.72 is: 182,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,474.36 : 308,928.81 = 122,279.72 : x
  2. Step 2: Convert to fraction form
    206,474.36/308,928.81 = 122,279.72/x
  3. Step 3: Cross multiply
    206,474.36x = 308,928.81 × 122,279.72
  4. Step 4: Simplify right side
    206,474.36x = 37,775,728,386.73
  5. Step 5: Solve for x
    x = 37,775,728,386.73/206,474.36
  6. Step 6: Final answer
    x = 182,956.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.