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Finding the Fourth Proportional to 312,778.45, 431,634.99 and 169,537.85

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Solution

The fourth proportional to 312,778.45, 431,634.99 and 169,537.85 is: 233,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,778.45 : 431,634.99 = 169,537.85 : x
  2. Step 2: Convert to fraction form
    312,778.45/431,634.99 = 169,537.85/x
  3. Step 3: Cross multiply
    312,778.45x = 431,634.99 × 169,537.85
  4. Step 4: Simplify right side
    312,778.45x = 73,178,468,189.37
  5. Step 5: Solve for x
    x = 73,178,468,189.37/312,778.45
  6. Step 6: Final answer
    x = 233,962.63

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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.