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Finding the Fourth Proportional to 361,894.89, 499,374.64 and 200,709.55

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Solution

The fourth proportional to 361,894.89, 499,374.64 and 200,709.55 is: 276,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,894.89 : 499,374.64 = 200,709.55 : x
  2. Step 2: Convert to fraction form
    361,894.89/499,374.64 = 200,709.55/x
  3. Step 3: Cross multiply
    361,894.89x = 499,374.64 × 200,709.55
  4. Step 4: Simplify right side
    361,894.89x = 100,229,259,275.81
  5. Step 5: Solve for x
    x = 100,229,259,275.81/361,894.89
  6. Step 6: Final answer
    x = 276,956.82

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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.