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Finding the Fourth Proportional to 319,174.56, 478,778.27 and 82,519.29

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Solution

The fourth proportional to 319,174.56, 478,778.27 and 82,519.29 is: 123,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,174.56 : 478,778.27 = 82,519.29 : x
  2. Step 2: Convert to fraction form
    319,174.56/478,778.27 = 82,519.29/x
  3. Step 3: Cross multiply
    319,174.56x = 478,778.27 × 82,519.29
  4. Step 4: Simplify right side
    319,174.56x = 39,508,442,495.23
  5. Step 5: Solve for x
    x = 39,508,442,495.23/319,174.56
  6. Step 6: Final answer
    x = 123,783.18

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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.