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Finding the Fourth Proportional to 298,991.02, 447,979.02 and 180,413.20

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Solution

The fourth proportional to 298,991.02, 447,979.02 and 180,413.20 is: 270,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,991.02 : 447,979.02 = 180,413.20 : x
  2. Step 2: Convert to fraction form
    298,991.02/447,979.02 = 180,413.20/x
  3. Step 3: Cross multiply
    298,991.02x = 447,979.02 × 180,413.20
  4. Step 4: Simplify right side
    298,991.02x = 80,821,328,531.06
  5. Step 5: Solve for x
    x = 80,821,328,531.06/298,991.02
  6. Step 6: Final answer
    x = 270,313.57

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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.