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Finding the Fourth Proportional to 396,896.64, 595,382.40 and 130,659.84

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Solution

The fourth proportional to 396,896.64, 595,382.40 and 130,659.84 is: 196,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,896.64 : 595,382.40 = 130,659.84 : x
  2. Step 2: Convert to fraction form
    396,896.64/595,382.40 = 130,659.84/x
  3. Step 3: Cross multiply
    396,896.64x = 595,382.40 × 130,659.84
  4. Step 4: Simplify right side
    396,896.64x = 77,792,569,122.82
  5. Step 5: Solve for x
    x = 77,792,569,122.82/396,896.64
  6. Step 6: Final answer
    x = 196,002.09

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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.