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Finding the Fourth Proportional to 295,685.80, 408,046.57 and 159,719.75

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Solution

The fourth proportional to 295,685.80, 408,046.57 and 159,719.75 is: 220,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,685.80 : 408,046.57 = 159,719.75 : x
  2. Step 2: Convert to fraction form
    295,685.80/408,046.57 = 159,719.75/x
  3. Step 3: Cross multiply
    295,685.80x = 408,046.57 × 159,719.75
  4. Step 4: Simplify right side
    295,685.80x = 65,173,093,309.93
  5. Step 5: Solve for x
    x = 65,173,093,309.93/295,685.80
  6. Step 6: Final answer
    x = 220,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.