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Finding the Fourth Proportional to 312,876.48, 431,737.56 and 192,022.86

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Solution

The fourth proportional to 312,876.48, 431,737.56 and 192,022.86 is: 264,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,876.48 : 431,737.56 = 192,022.86 : x
  2. Step 2: Convert to fraction form
    312,876.48/431,737.56 = 192,022.86/x
  3. Step 3: Cross multiply
    312,876.48x = 431,737.56 × 192,022.86
  4. Step 4: Simplify right side
    312,876.48x = 82,903,481,040.62
  5. Step 5: Solve for x
    x = 82,903,481,040.62/312,876.48
  6. Step 6: Final answer
    x = 264,971.92

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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.