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Finding the Fourth Proportional to 356,387.54, 491,838.32 and 203,456.71

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Solution

The fourth proportional to 356,387.54, 491,838.32 and 203,456.71 is: 280,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,387.54 : 491,838.32 = 203,456.71 : x
  2. Step 2: Convert to fraction form
    356,387.54/491,838.32 = 203,456.71/x
  3. Step 3: Cross multiply
    356,387.54x = 491,838.32 × 203,456.71
  4. Step 4: Simplify right side
    356,387.54x = 100,067,806,439.13
  5. Step 5: Solve for x
    x = 100,067,806,439.13/356,387.54
  6. Step 6: Final answer
    x = 280,783.68

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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.