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Finding the Fourth Proportional to 356,118, 491,442.60 and 194,973

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Solution

The fourth proportional to 356,118, 491,442.60 and 194,973 is: 269,062.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,118 : 491,442.60 = 194,973 : x
  2. Step 2: Convert to fraction form
    356,118/491,442.60 = 194,973/x
  3. Step 3: Cross multiply
    356,118x = 491,442.60 × 194,973
  4. Step 4: Simplify right side
    356,118x = 95,818,038,049.80
  5. Step 5: Solve for x
    x = 95,818,038,049.80/356,118
  6. Step 6: Final answer
    x = 269,062.61

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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.