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Finding the Fourth Proportional to 361,911.60, 543,385.80 and 204,447.60

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Solution

The fourth proportional to 361,911.60, 543,385.80 and 204,447.60 is: 306,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,911.60 : 543,385.80 = 204,447.60 : x
  2. Step 2: Convert to fraction form
    361,911.60/543,385.80 = 204,447.60/x
  3. Step 3: Cross multiply
    361,911.60x = 543,385.80 × 204,447.60
  4. Step 4: Simplify right side
    361,911.60x = 111,093,922,684.08
  5. Step 5: Solve for x
    x = 111,093,922,684.08/361,911.60
  6. Step 6: Final answer
    x = 306,964.25

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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.