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Finding the Fourth Proportional to 325,840.70, 489,198.45 and 208,034.30

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Solution

The fourth proportional to 325,840.70, 489,198.45 and 208,034.30 is: 312,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,840.70 : 489,198.45 = 208,034.30 : x
  2. Step 2: Convert to fraction form
    325,840.70/489,198.45 = 208,034.30/x
  3. Step 3: Cross multiply
    325,840.70x = 489,198.45 × 208,034.30
  4. Step 4: Simplify right side
    325,840.70x = 101,770,057,106.84
  5. Step 5: Solve for x
    x = 101,770,057,106.84/325,840.70
  6. Step 6: Final answer
    x = 312,330.71

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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.