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Finding the Fourth Proportional to 355,234.51, 490,217.83 and 194,086.09

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Solution

The fourth proportional to 355,234.51, 490,217.83 and 194,086.09 is: 267,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,234.51 : 490,217.83 = 194,086.09 : x
  2. Step 2: Convert to fraction form
    355,234.51/490,217.83 = 194,086.09/x
  3. Step 3: Cross multiply
    355,234.51x = 490,217.83 × 194,086.09
  4. Step 4: Simplify right side
    355,234.51x = 95,144,460,162.22
  5. Step 5: Solve for x
    x = 95,144,460,162.22/355,234.51
  6. Step 6: Final answer
    x = 267,835.64

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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.