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Finding the Fourth Proportional to 331,456.80, 457,413.50 and 188,220.04

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Solution

The fourth proportional to 331,456.80, 457,413.50 and 188,220.04 is: 259,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,456.80 : 457,413.50 = 188,220.04 : x
  2. Step 2: Convert to fraction form
    331,456.80/457,413.50 = 188,220.04/x
  3. Step 3: Cross multiply
    331,456.80x = 457,413.50 × 188,220.04
  4. Step 4: Simplify right side
    331,456.80x = 86,094,387,266.54
  5. Step 5: Solve for x
    x = 86,094,387,266.54/331,456.80
  6. Step 6: Final answer
    x = 259,745.42

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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.