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Finding the Fourth Proportional to 361,954.86, 499,500.72 and 200,820.48

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Solution

The fourth proportional to 361,954.86, 499,500.72 and 200,820.48 is: 277,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,954.86 : 499,500.72 = 200,820.48 : x
  2. Step 2: Convert to fraction form
    361,954.86/499,500.72 = 200,820.48/x
  3. Step 3: Cross multiply
    361,954.86x = 499,500.72 × 200,820.48
  4. Step 4: Simplify right side
    361,954.86x = 100,309,974,350.75
  5. Step 5: Solve for x
    x = 100,309,974,350.75/361,954.86
  6. Step 6: Final answer
    x = 277,133.93

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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.