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Finding the Fourth Proportional to 442,413.82, 663,200.30 and 282,039.58

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Solution

The fourth proportional to 442,413.82, 663,200.30 and 282,039.58 is: 422,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,413.82 : 663,200.30 = 282,039.58 : x
  2. Step 2: Convert to fraction form
    442,413.82/663,200.30 = 282,039.58/x
  3. Step 3: Cross multiply
    442,413.82x = 663,200.30 × 282,039.58
  4. Step 4: Simplify right side
    442,413.82x = 187,048,734,067.87
  5. Step 5: Solve for x
    x = 187,048,734,067.87/442,413.82
  6. Step 6: Final answer
    x = 422,791.35

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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.