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Finding the Fourth Proportional to 319,163.65, 478,761.87 and 82,508.38

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Solution

The fourth proportional to 319,163.65, 478,761.87 and 82,508.38 is: 123,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,163.65 : 478,761.87 = 82,508.38 : x
  2. Step 2: Convert to fraction form
    319,163.65/478,761.87 = 82,508.38/x
  3. Step 3: Cross multiply
    319,163.65x = 478,761.87 × 82,508.38
  4. Step 4: Simplify right side
    319,163.65x = 39,501,866,299.47
  5. Step 5: Solve for x
    x = 39,501,866,299.47/319,163.65
  6. Step 6: Final answer
    x = 123,766.81

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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.