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Finding the Fourth Proportional to 312,797.91, 432,019.79 and 205,845.37

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Solution

The fourth proportional to 312,797.91, 432,019.79 and 205,845.37 is: 284,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,797.91 : 432,019.79 = 205,845.37 : x
  2. Step 2: Convert to fraction form
    312,797.91/432,019.79 = 205,845.37/x
  3. Step 3: Cross multiply
    312,797.91x = 432,019.79 × 205,845.37
  4. Step 4: Simplify right side
    312,797.91x = 88,929,273,519.87
  5. Step 5: Solve for x
    x = 88,929,273,519.87/312,797.91
  6. Step 6: Final answer
    x = 284,302.65

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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.