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Finding the Fourth Proportional to 355,997.36, 491,274.65 and 192,653.78

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Solution

The fourth proportional to 355,997.36, 491,274.65 and 192,653.78 is: 265,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,997.36 : 491,274.65 = 192,653.78 : x
  2. Step 2: Convert to fraction form
    355,997.36/491,274.65 = 192,653.78/x
  3. Step 3: Cross multiply
    355,997.36x = 491,274.65 × 192,653.78
  4. Step 4: Simplify right side
    355,997.36x = 94,645,916,365.94
  5. Step 5: Solve for x
    x = 94,645,916,365.94/355,997.36
  6. Step 6: Final answer
    x = 265,861.29

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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.