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Finding the Fourth Proportional to 311,896.86, 467,456.76 and 143,237.88

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Solution

The fourth proportional to 311,896.86, 467,456.76 and 143,237.88 is: 214,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,896.86 : 467,456.76 = 143,237.88 : x
  2. Step 2: Convert to fraction form
    311,896.86/467,456.76 = 143,237.88/x
  3. Step 3: Cross multiply
    311,896.86x = 467,456.76 × 143,237.88
  4. Step 4: Simplify right side
    311,896.86x = 66,957,515,294.07
  5. Step 5: Solve for x
    x = 66,957,515,294.07/311,896.86
  6. Step 6: Final answer
    x = 214,678.39

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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.