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Finding the Fourth Proportional to 356,436.71, 491,863.86 and 203,468.82

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Solution

The fourth proportional to 356,436.71, 491,863.86 and 203,468.82 is: 280,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,436.71 : 491,863.86 = 203,468.82 : x
  2. Step 2: Convert to fraction form
    356,436.71/491,863.86 = 203,468.82/x
  3. Step 3: Cross multiply
    356,436.71x = 491,863.86 × 203,468.82
  4. Step 4: Simplify right side
    356,436.71x = 100,078,959,194.85
  5. Step 5: Solve for x
    x = 100,078,959,194.85/356,436.71
  6. Step 6: Final answer
    x = 280,776.24

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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.