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Finding the Fourth Proportional to 361,780, 499,256.40 and 200,659.72

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Solution

The fourth proportional to 361,780, 499,256.40 and 200,659.72 is: 276,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,780 : 499,256.40 = 200,659.72 : x
  2. Step 2: Convert to fraction form
    361,780/499,256.40 = 200,659.72/x
  3. Step 3: Cross multiply
    361,780x = 499,256.40 × 200,659.72
  4. Step 4: Simplify right side
    361,780x = 100,180,649,432.21
  5. Step 5: Solve for x
    x = 100,180,649,432.21/361,780
  6. Step 6: Final answer
    x = 276,910.41

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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.