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Finding the Fourth Proportional to 312,881.78, 431,774.24 and 176,942.41

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Solution

The fourth proportional to 312,881.78, 431,774.24 and 176,942.41 is: 244,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,881.78 : 431,774.24 = 176,942.41 : x
  2. Step 2: Convert to fraction form
    312,881.78/431,774.24 = 176,942.41/x
  3. Step 3: Cross multiply
    312,881.78x = 431,774.24 × 176,942.41
  4. Step 4: Simplify right side
    312,881.78x = 76,399,176,061.40
  5. Step 5: Solve for x
    x = 76,399,176,061.40/312,881.78
  6. Step 6: Final answer
    x = 244,179.05

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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.