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Finding the Fourth Proportional to 408,413.72, 612,539.82 and 388,160.21

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Solution

The fourth proportional to 408,413.72, 612,539.82 and 388,160.21 is: 582,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,413.72 : 612,539.82 = 388,160.21 : x
  2. Step 2: Convert to fraction form
    408,413.72/612,539.82 = 388,160.21/x
  3. Step 3: Cross multiply
    408,413.72x = 612,539.82 × 388,160.21
  4. Step 4: Simplify right side
    408,413.72x = 237,763,582,101.86
  5. Step 5: Solve for x
    x = 237,763,582,101.86/408,413.72
  6. Step 6: Final answer
    x = 582,163.56

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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.