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Finding the Fourth Proportional to 355,758.27, 490,942.41 and 194,611.40

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Solution

The fourth proportional to 355,758.27, 490,942.41 and 194,611.40 is: 268,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,758.27 : 490,942.41 = 194,611.40 : x
  2. Step 2: Convert to fraction form
    355,758.27/490,942.41 = 194,611.40/x
  3. Step 3: Cross multiply
    355,758.27x = 490,942.41 × 194,611.40
  4. Step 4: Simplify right side
    355,758.27x = 95,542,987,274.76
  5. Step 5: Solve for x
    x = 95,542,987,274.76/355,758.27
  6. Step 6: Final answer
    x = 268,561.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.