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Finding the Fourth Proportional to 361,815.84, 499,336.51 and 200,722.78

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Solution

The fourth proportional to 361,815.84, 499,336.51 and 200,722.78 is: 277,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,815.84 : 499,336.51 = 200,722.78 : x
  2. Step 2: Convert to fraction form
    361,815.84/499,336.51 = 200,722.78/x
  3. Step 3: Cross multiply
    361,815.84x = 499,336.51 × 200,722.78
  4. Step 4: Simplify right side
    361,815.84x = 100,228,212,442.70
  5. Step 5: Solve for x
    x = 100,228,212,442.70/361,815.84
  6. Step 6: Final answer
    x = 277,014.44

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1.5x scale

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.