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Finding the Fourth Proportional to 355,906.71, 491,151.32 and 194,761.80

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Solution

The fourth proportional to 355,906.71, 491,151.32 and 194,761.80 is: 268,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,906.71 : 491,151.32 = 194,761.80 : x
  2. Step 2: Convert to fraction form
    355,906.71/491,151.32 = 194,761.80/x
  3. Step 3: Cross multiply
    355,906.71x = 491,151.32 × 194,761.80
  4. Step 4: Simplify right side
    355,906.71x = 95,657,514,181.77
  5. Step 5: Solve for x
    x = 95,657,514,181.77/355,906.71
  6. Step 6: Final answer
    x = 268,771.31

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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.