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Finding the Fourth Proportional to 491,884.70, 678,849.30 and 287,923.25

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Solution

The fourth proportional to 491,884.70, 678,849.30 and 287,923.25 is: 397,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,884.70 : 678,849.30 = 287,923.25 : x
  2. Step 2: Convert to fraction form
    491,884.70/678,849.30 = 287,923.25/x
  3. Step 3: Cross multiply
    491,884.70x = 678,849.30 × 287,923.25
  4. Step 4: Simplify right side
    491,884.70x = 195,456,498,413.35
  5. Step 5: Solve for x
    x = 195,456,498,413.35/491,884.70
  6. Step 6: Final answer
    x = 397,362.43

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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.