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Finding the Fourth Proportional to 647,581.40, 969,628.96 and 422,383.60

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Solution

The fourth proportional to 647,581.40, 969,628.96 and 422,383.60 is: 632,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,581.40 : 969,628.96 = 422,383.60 : x
  2. Step 2: Convert to fraction form
    647,581.40/969,628.96 = 422,383.60/x
  3. Step 3: Cross multiply
    647,581.40x = 969,628.96 × 422,383.60
  4. Step 4: Simplify right side
    647,581.40x = 409,555,370,789.06
  5. Step 5: Solve for x
    x = 409,555,370,789.06/647,581.40
  6. Step 6: Final answer
    x = 632,438.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.