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Finding the Fourth Proportional to 355,913.88, 491,161.16 and 194,768.94

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Solution

The fourth proportional to 355,913.88, 491,161.16 and 194,768.94 is: 268,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,913.88 : 491,161.16 = 194,768.94 : x
  2. Step 2: Convert to fraction form
    355,913.88/491,161.16 = 194,768.94/x
  3. Step 3: Cross multiply
    355,913.88x = 491,161.16 × 194,768.94
  4. Step 4: Simplify right side
    355,913.88x = 95,662,936,046.56
  5. Step 5: Solve for x
    x = 95,662,936,046.56/355,913.88
  6. Step 6: Final answer
    x = 268,781.13

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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.