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Finding the Fourth Proportional to 355,924.72, 491,128.68 and 204,992.56

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Solution

The fourth proportional to 355,924.72, 491,128.68 and 204,992.56 is: 282,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,924.72 : 491,128.68 = 204,992.56 : x
  2. Step 2: Convert to fraction form
    355,924.72/491,128.68 = 204,992.56/x
  3. Step 3: Cross multiply
    355,924.72x = 491,128.68 × 204,992.56
  4. Step 4: Simplify right side
    355,924.72x = 100,677,725,402.62
  5. Step 5: Solve for x
    x = 100,677,725,402.62/355,924.72
  6. Step 6: Final answer
    x = 282,862.41

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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.