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Finding the Fourth Proportional to 290,413.92, 400,772.82 and 161,352.57

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Solution

The fourth proportional to 290,413.92, 400,772.82 and 161,352.57 is: 222,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413.92 : 400,772.82 = 161,352.57 : x
  2. Step 2: Convert to fraction form
    290,413.92/400,772.82 = 161,352.57/x
  3. Step 3: Cross multiply
    290,413.92x = 400,772.82 × 161,352.57
  4. Step 4: Simplify right side
    290,413.92x = 64,665,723,686.38
  5. Step 5: Solve for x
    x = 64,665,723,686.38/290,413.92
  6. Step 6: Final answer
    x = 222,667.44

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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.