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Finding the Fourth Proportional to 493,234.88, 739,794.38 and 138,277.48

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Solution

The fourth proportional to 493,234.88, 739,794.38 and 138,277.48 is: 207,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,234.88 : 739,794.38 = 138,277.48 : x
  2. Step 2: Convert to fraction form
    493,234.88/739,794.38 = 138,277.48/x
  3. Step 3: Cross multiply
    493,234.88x = 739,794.38 × 138,277.48
  4. Step 4: Simplify right side
    493,234.88x = 102,296,902,584.56
  5. Step 5: Solve for x
    x = 102,296,902,584.56/493,234.88
  6. Step 6: Final answer
    x = 207,399.98

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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.