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Finding the Fourth Proportional to 355,235.22, 490,218.87 and 194,086.80

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Solution

The fourth proportional to 355,235.22, 490,218.87 and 194,086.80 is: 267,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,235.22 : 490,218.87 = 194,086.80 : x
  2. Step 2: Convert to fraction form
    355,235.22/490,218.87 = 194,086.80/x
  3. Step 3: Cross multiply
    355,235.22x = 490,218.87 × 194,086.80
  4. Step 4: Simplify right side
    355,235.22x = 95,145,011,777.92
  5. Step 5: Solve for x
    x = 95,145,011,777.92/355,235.22
  6. Step 6: Final answer
    x = 267,836.65

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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.