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Finding the Fourth Proportional to 304,769.75, 457,118.22 and 80,147.69

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Solution

The fourth proportional to 304,769.75, 457,118.22 and 80,147.69 is: 120,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,769.75 : 457,118.22 = 80,147.69 : x
  2. Step 2: Convert to fraction form
    304,769.75/457,118.22 = 80,147.69/x
  3. Step 3: Cross multiply
    304,769.75x = 457,118.22 × 80,147.69
  4. Step 4: Simplify right side
    304,769.75x = 36,636,969,389.91
  5. Step 5: Solve for x
    x = 36,636,969,389.91/304,769.75
  6. Step 6: Final answer
    x = 120,211.96

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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.