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Finding the Fourth Proportional to 202,289.80, 303,780.30 and 132,478.60

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Solution

The fourth proportional to 202,289.80, 303,780.30 and 132,478.60 is: 198,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,289.80 : 303,780.30 = 132,478.60 : x
  2. Step 2: Convert to fraction form
    202,289.80/303,780.30 = 132,478.60/x
  3. Step 3: Cross multiply
    202,289.80x = 303,780.30 × 132,478.60
  4. Step 4: Simplify right side
    202,289.80x = 40,244,388,851.58
  5. Step 5: Solve for x
    x = 40,244,388,851.58/202,289.80
  6. Step 6: Final answer
    x = 198,944.23

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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.