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Finding the Fourth Proportional to 361,715.61, 499,143.21 and 200,564.70

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Solution

The fourth proportional to 361,715.61, 499,143.21 and 200,564.70 is: 276,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,715.61 : 499,143.21 = 200,564.70 : x
  2. Step 2: Convert to fraction form
    361,715.61/499,143.21 = 200,564.70/x
  3. Step 3: Cross multiply
    361,715.61x = 499,143.21 × 200,564.70
  4. Step 4: Simplify right side
    361,715.61x = 100,110,508,170.69
  5. Step 5: Solve for x
    x = 100,110,508,170.69/361,715.61
  6. Step 6: Final answer
    x = 276,765.79

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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.