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Finding the Fourth Proportional to 361,788.70, 499,298.30 and 200,695.70

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Solution

The fourth proportional to 361,788.70, 499,298.30 and 200,695.70 is: 276,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,788.70 : 499,298.30 = 200,695.70 : x
  2. Step 2: Convert to fraction form
    361,788.70/499,298.30 = 200,695.70/x
  3. Step 3: Cross multiply
    361,788.70x = 499,298.30 × 200,695.70
  4. Step 4: Simplify right side
    361,788.70x = 100,207,021,827.31
  5. Step 5: Solve for x
    x = 100,207,021,827.31/361,788.70
  6. Step 6: Final answer
    x = 276,976.65

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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.