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Finding the Fourth Proportional to 300,902.10, 451,353.15 and 194,613.90

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Solution

The fourth proportional to 300,902.10, 451,353.15 and 194,613.90 is: 291,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,902.10 : 451,353.15 = 194,613.90 : x
  2. Step 2: Convert to fraction form
    300,902.10/451,353.15 = 194,613.90/x
  3. Step 3: Cross multiply
    300,902.10x = 451,353.15 × 194,613.90
  4. Step 4: Simplify right side
    300,902.10x = 87,839,596,798.79
  5. Step 5: Solve for x
    x = 87,839,596,798.79/300,902.10
  6. Step 6: Final answer
    x = 291,920.85

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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.