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Finding the Fourth Proportional to 203,493.80, 305,240.70 and 194,855.15

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Solution

The fourth proportional to 203,493.80, 305,240.70 and 194,855.15 is: 292,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,493.80 : 305,240.70 = 194,855.15 : x
  2. Step 2: Convert to fraction form
    203,493.80/305,240.70 = 194,855.15/x
  3. Step 3: Cross multiply
    203,493.80x = 305,240.70 × 194,855.15
  4. Step 4: Simplify right side
    203,493.80x = 59,477,722,384.61
  5. Step 5: Solve for x
    x = 59,477,722,384.61/203,493.80
  6. Step 6: Final answer
    x = 292,282.73

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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.