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Finding the Fourth Proportional to 361,774, 499,248.12 and 200,653.72

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Solution

The fourth proportional to 361,774, 499,248.12 and 200,653.72 is: 276,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,774 : 499,248.12 = 200,653.72 : x
  2. Step 2: Convert to fraction form
    361,774/499,248.12 = 200,653.72/x
  3. Step 3: Cross multiply
    361,774x = 499,248.12 × 200,653.72
  4. Step 4: Simplify right side
    361,774x = 100,175,992,481.01
  5. Step 5: Solve for x
    x = 100,175,992,481.01/361,774
  6. Step 6: Final answer
    x = 276,902.13

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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.