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Finding the Fourth Proportional to 297,579.78, 410,785.70 and 200,914.58

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Solution

The fourth proportional to 297,579.78, 410,785.70 and 200,914.58 is: 277,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,579.78 : 410,785.70 = 200,914.58 : x
  2. Step 2: Convert to fraction form
    297,579.78/410,785.70 = 200,914.58/x
  3. Step 3: Cross multiply
    297,579.78x = 410,785.70 × 200,914.58
  4. Step 4: Simplify right side
    297,579.78x = 82,532,836,407.90
  5. Step 5: Solve for x
    x = 82,532,836,407.90/297,579.78
  6. Step 6: Final answer
    x = 277,346.92

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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.