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Finding the Fourth Proportional to 354,942.40, 532,413.60 and 327,908.80

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Solution

The fourth proportional to 354,942.40, 532,413.60 and 327,908.80 is: 491,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,942.40 : 532,413.60 = 327,908.80 : x
  2. Step 2: Convert to fraction form
    354,942.40/532,413.60 = 327,908.80/x
  3. Step 3: Cross multiply
    354,942.40x = 532,413.60 × 327,908.80
  4. Step 4: Simplify right side
    354,942.40x = 174,583,104,679.68
  5. Step 5: Solve for x
    x = 174,583,104,679.68/354,942.40
  6. Step 6: Final answer
    x = 491,863.20

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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.