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Finding the Fourth Proportional to 664,138.20, 996,100.38 and 190,715.88

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Solution

The fourth proportional to 664,138.20, 996,100.38 and 190,715.88 is: 286,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,138.20 : 996,100.38 = 190,715.88 : x
  2. Step 2: Convert to fraction form
    664,138.20/996,100.38 = 190,715.88/x
  3. Step 3: Cross multiply
    664,138.20x = 996,100.38 × 190,715.88
  4. Step 4: Simplify right side
    664,138.20x = 189,972,160,540.03
  5. Step 5: Solve for x
    x = 189,972,160,540.03/664,138.20
  6. Step 6: Final answer
    x = 286,043.12

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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.