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Finding the Fourth Proportional to 297,409.91, 410,413.59 and 161,438.66

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Solution

The fourth proportional to 297,409.91, 410,413.59 and 161,438.66 is: 222,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,409.91 : 410,413.59 = 161,438.66 : x
  2. Step 2: Convert to fraction form
    297,409.91/410,413.59 = 161,438.66/x
  3. Step 3: Cross multiply
    297,409.91x = 410,413.59 × 161,438.66
  4. Step 4: Simplify right side
    297,409.91x = 66,256,620,015.39
  5. Step 5: Solve for x
    x = 66,256,620,015.39/297,409.91
  6. Step 6: Final answer
    x = 222,778.79

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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.