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Finding the Fourth Proportional to 355,163.96, 490,120.74 and 194,015.88

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Solution

The fourth proportional to 355,163.96, 490,120.74 and 194,015.88 is: 267,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,163.96 : 490,120.74 = 194,015.88 : x
  2. Step 2: Convert to fraction form
    355,163.96/490,120.74 = 194,015.88/x
  3. Step 3: Cross multiply
    355,163.96x = 490,120.74 × 194,015.88
  4. Step 4: Simplify right side
    355,163.96x = 95,091,206,677.35
  5. Step 5: Solve for x
    x = 95,091,206,677.35/355,163.96
  6. Step 6: Final answer
    x = 267,738.89

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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.