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Finding the Fourth Proportional to 325,817.20, 489,163.20 and 208,010.80

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Solution

The fourth proportional to 325,817.20, 489,163.20 and 208,010.80 is: 312,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,817.20 : 489,163.20 = 208,010.80 : x
  2. Step 2: Convert to fraction form
    325,817.20/489,163.20 = 208,010.80/x
  3. Step 3: Cross multiply
    325,817.20x = 489,163.20 × 208,010.80
  4. Step 4: Simplify right side
    325,817.20x = 101,751,228,562.56
  5. Step 5: Solve for x
    x = 101,751,228,562.56/325,817.20
  6. Step 6: Final answer
    x = 312,295.45

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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.