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Finding the Fourth Proportional to 422,640,362.64, 633,965,423.94 and 127,538,037.97

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Solution

The fourth proportional to 422,640,362.64, 633,965,423.94 and 127,538,037.97 is: 191,308,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,640,362.64 : 633,965,423.94 = 127,538,037.97 : x
  2. Step 2: Convert to fraction form
    422,640,362.64/633,965,423.94 = 127,538,037.97/x
  3. Step 3: Cross multiply
    422,640,362.64x = 633,965,423.94 × 127,538,037.97
  4. Step 4: Simplify right side
    422,640,362.64x = 80,854,706,310,126,880
  5. Step 5: Solve for x
    x = 80,854,706,310,126,880/422,640,362.64
  6. Step 6: Final answer
    x = 191,308,529.56

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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.