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Finding the Fourth Proportional to 538,691.63, 743,375.30 and 293,671.31

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Solution

The fourth proportional to 538,691.63, 743,375.30 and 293,671.31 is: 405,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,691.63 : 743,375.30 = 293,671.31 : x
  2. Step 2: Convert to fraction form
    538,691.63/743,375.30 = 293,671.31/x
  3. Step 3: Cross multiply
    538,691.63x = 743,375.30 × 293,671.31
  4. Step 4: Simplify right side
    538,691.63x = 218,307,992,987.41
  5. Step 5: Solve for x
    x = 218,307,992,987.41/538,691.63
  6. Step 6: Final answer
    x = 405,255.96

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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.