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Finding the Fourth Proportional to 203,488.80, 305,233.20 and 194,850.15

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Solution

The fourth proportional to 203,488.80, 305,233.20 and 194,850.15 is: 292,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.80 : 305,233.20 = 194,850.15 : x
  2. Step 2: Convert to fraction form
    203,488.80/305,233.20 = 194,850.15/x
  3. Step 3: Cross multiply
    203,488.80x = 305,233.20 × 194,850.15
  4. Step 4: Simplify right side
    203,488.80x = 59,474,734,804.98
  5. Step 5: Solve for x
    x = 59,474,734,804.98/203,488.80
  6. Step 6: Final answer
    x = 292,275.23

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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.