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Finding the Fourth Proportional to 217,413.40, 325,682.70 and 123,809.80

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Solution

The fourth proportional to 217,413.40, 325,682.70 and 123,809.80 is: 185,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,413.40 : 325,682.70 = 123,809.80 : x
  2. Step 2: Convert to fraction form
    217,413.40/325,682.70 = 123,809.80/x
  3. Step 3: Cross multiply
    217,413.40x = 325,682.70 × 123,809.80
  4. Step 4: Simplify right side
    217,413.40x = 40,322,709,950.46
  5. Step 5: Solve for x
    x = 40,322,709,950.46/217,413.40
  6. Step 6: Final answer
    x = 185,465.62

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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.