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Finding the Fourth Proportional to 356,396.91, 491,843.93 and 203,476.47

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Solution

The fourth proportional to 356,396.91, 491,843.93 and 203,476.47 is: 280,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,396.91 : 491,843.93 = 203,476.47 : x
  2. Step 2: Convert to fraction form
    356,396.91/491,843.93 = 203,476.47/x
  3. Step 3: Cross multiply
    356,396.91x = 491,843.93 × 203,476.47
  4. Step 4: Simplify right side
    356,396.91x = 100,078,665,649.95
  5. Step 5: Solve for x
    x = 100,078,665,649.95/356,396.91
  6. Step 6: Final answer
    x = 280,806.77

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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.