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Finding the Fourth Proportional to 361,707.10, 499,154.93 and 200,558

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Solution

The fourth proportional to 361,707.10, 499,154.93 and 200,558 is: 276,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,707.10 : 499,154.93 = 200,558 : x
  2. Step 2: Convert to fraction form
    361,707.10/499,154.93 = 200,558/x
  3. Step 3: Cross multiply
    361,707.10x = 499,154.93 × 200,558
  4. Step 4: Simplify right side
    361,707.10x = 100,109,514,450.94
  5. Step 5: Solve for x
    x = 100,109,514,450.94/361,707.10
  6. Step 6: Final answer
    x = 276,769.56

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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.