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Finding the Fourth Proportional to 355,804.92, 491,016.32 and 194,662.65

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Solution

The fourth proportional to 355,804.92, 491,016.32 and 194,662.65 is: 268,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,804.92 : 491,016.32 = 194,662.65 : x
  2. Step 2: Convert to fraction form
    355,804.92/491,016.32 = 194,662.65/x
  3. Step 3: Cross multiply
    355,804.92x = 491,016.32 × 194,662.65
  4. Step 4: Simplify right side
    355,804.92x = 95,582,538,044.45
  5. Step 5: Solve for x
    x = 95,582,538,044.45/355,804.92
  6. Step 6: Final answer
    x = 268,637.48

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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.