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Finding the Fourth Proportional to 231,288.34, 319,178.44 and 129,317.44

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Solution

The fourth proportional to 231,288.34, 319,178.44 and 129,317.44 is: 178,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,288.34 : 319,178.44 = 129,317.44 : x
  2. Step 2: Convert to fraction form
    231,288.34/319,178.44 = 129,317.44/x
  3. Step 3: Cross multiply
    231,288.34x = 319,178.44 × 129,317.44
  4. Step 4: Simplify right side
    231,288.34x = 41,275,338,763.99
  5. Step 5: Solve for x
    x = 41,275,338,763.99/231,288.34
  6. Step 6: Final answer
    x = 178,458.36

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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.