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Finding the Fourth Proportional to 273,820.80, 409,924.80 and 204,009.60

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Solution

The fourth proportional to 273,820.80, 409,924.80 and 204,009.60 is: 305,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,820.80 : 409,924.80 = 204,009.60 : x
  2. Step 2: Convert to fraction form
    273,820.80/409,924.80 = 204,009.60/x
  3. Step 3: Cross multiply
    273,820.80x = 409,924.80 × 204,009.60
  4. Step 4: Simplify right side
    273,820.80x = 83,628,594,478.08
  5. Step 5: Solve for x
    x = 83,628,594,478.08/273,820.80
  6. Step 6: Final answer
    x = 305,413.59

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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.