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Finding the Fourth Proportional to 309,367.35, 464,761.53 and 218,391.96

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Solution

The fourth proportional to 309,367.35, 464,761.53 and 218,391.96 is: 328,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,367.35 : 464,761.53 = 218,391.96 : x
  2. Step 2: Convert to fraction form
    309,367.35/464,761.53 = 218,391.96/x
  3. Step 3: Cross multiply
    309,367.35x = 464,761.53 × 218,391.96
  4. Step 4: Simplify right side
    309,367.35x = 101,500,181,469.30
  5. Step 5: Solve for x
    x = 101,500,181,469.30/309,367.35
  6. Step 6: Final answer
    x = 328,089.51

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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.