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Finding the Fourth Proportional to 664,192, 996,296.64 and 220,960

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Solution

The fourth proportional to 664,192, 996,296.64 and 220,960 is: 331,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,192 : 996,296.64 = 220,960 : x
  2. Step 2: Convert to fraction form
    664,192/996,296.64 = 220,960/x
  3. Step 3: Cross multiply
    664,192x = 996,296.64 × 220,960
  4. Step 4: Simplify right side
    664,192x = 220,141,705,574.40
  5. Step 5: Solve for x
    x = 220,141,705,574.40/664,192
  6. Step 6: Final answer
    x = 331,442.87

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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.