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Finding the Fourth Proportional to 281,413.44, 422,217.72 and 123,619.92

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Solution

The fourth proportional to 281,413.44, 422,217.72 and 123,619.92 is: 185,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,413.44 : 422,217.72 = 123,619.92 : x
  2. Step 2: Convert to fraction form
    281,413.44/422,217.72 = 123,619.92/x
  3. Step 3: Cross multiply
    281,413.44x = 422,217.72 × 123,619.92
  4. Step 4: Simplify right side
    281,413.44x = 52,194,520,768.98
  5. Step 5: Solve for x
    x = 52,194,520,768.98/281,413.44
  6. Step 6: Final answer
    x = 185,472.74

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1.5x scale

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.