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Finding the Fourth Proportional to 415,460.31, 623,274.30 and 131,195.26

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Solution

The fourth proportional to 415,460.31, 623,274.30 and 131,195.26 is: 196,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,460.31 : 623,274.30 = 131,195.26 : x
  2. Step 2: Convert to fraction form
    415,460.31/623,274.30 = 131,195.26/x
  3. Step 3: Cross multiply
    415,460.31x = 623,274.30 × 131,195.26
  4. Step 4: Simplify right side
    415,460.31x = 81,770,633,839.82
  5. Step 5: Solve for x
    x = 81,770,633,839.82/415,460.31
  6. Step 6: Final answer
    x = 196,819.36

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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.