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Finding the Fourth Proportional to 206,804.61, 310,472.57 and 159,449.78

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Solution

The fourth proportional to 206,804.61, 310,472.57 and 159,449.78 is: 239,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804.61 : 310,472.57 = 159,449.78 : x
  2. Step 2: Convert to fraction form
    206,804.61/310,472.57 = 159,449.78/x
  3. Step 3: Cross multiply
    206,804.61x = 310,472.57 × 159,449.78
  4. Step 4: Simplify right side
    206,804.61x = 49,504,782,982.53
  5. Step 5: Solve for x
    x = 49,504,782,982.53/206,804.61
  6. Step 6: Final answer
    x = 239,379.49

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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.