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Finding the Fourth Proportional to 201,517.20, 302,275.80 and 170,413.20

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Solution

The fourth proportional to 201,517.20, 302,275.80 and 170,413.20 is: 255,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,517.20 : 302,275.80 = 170,413.20 : x
  2. Step 2: Convert to fraction form
    201,517.20/302,275.80 = 170,413.20/x
  3. Step 3: Cross multiply
    201,517.20x = 302,275.80 × 170,413.20
  4. Step 4: Simplify right side
    201,517.20x = 51,511,786,360.56
  5. Step 5: Solve for x
    x = 51,511,786,360.56/201,517.20
  6. Step 6: Final answer
    x = 255,619.80

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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.