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Finding the Fourth Proportional to 355,899.43, 491,141.17 and 194,754.50

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Solution

The fourth proportional to 355,899.43, 491,141.17 and 194,754.50 is: 268,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,899.43 : 491,141.17 = 194,754.50 : x
  2. Step 2: Convert to fraction form
    355,899.43/491,141.17 = 194,754.50/x
  3. Step 3: Cross multiply
    355,899.43x = 491,141.17 × 194,754.50
  4. Step 4: Simplify right side
    355,899.43x = 95,651,952,992.77
  5. Step 5: Solve for x
    x = 95,651,952,992.77/355,899.43
  6. Step 6: Final answer
    x = 268,761.19

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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.