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Finding the Fourth Proportional to 361,930.56, 499,465.44 and 200,788.80

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Solution

The fourth proportional to 361,930.56, 499,465.44 and 200,788.80 is: 277,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,930.56 : 499,465.44 = 200,788.80 : x
  2. Step 2: Convert to fraction form
    361,930.56/499,465.44 = 200,788.80/x
  3. Step 3: Cross multiply
    361,930.56x = 499,465.44 × 200,788.80
  4. Step 4: Simplify right side
    361,930.56x = 100,287,066,339.07
  5. Step 5: Solve for x
    x = 100,287,066,339.07/361,930.56
  6. Step 6: Final answer
    x = 277,089.25

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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.