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Finding the Fourth Proportional to 300,185.92, 414,076.08 and 198,212.32

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Solution

The fourth proportional to 300,185.92, 414,076.08 and 198,212.32 is: 273,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,185.92 : 414,076.08 = 198,212.32 : x
  2. Step 2: Convert to fraction form
    300,185.92/414,076.08 = 198,212.32/x
  3. Step 3: Cross multiply
    300,185.92x = 414,076.08 × 198,212.32
  4. Step 4: Simplify right side
    300,185.92x = 82,074,980,473.31
  5. Step 5: Solve for x
    x = 82,074,980,473.31/300,185.92
  6. Step 6: Final answer
    x = 273,413.82

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1.5x scale

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.