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Finding the Fourth Proportional to 663,233.44, 994,992.32 and 213,980

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Solution

The fourth proportional to 663,233.44, 994,992.32 and 213,980 is: 321,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,233.44 : 994,992.32 = 213,980 : x
  2. Step 2: Convert to fraction form
    663,233.44/994,992.32 = 213,980/x
  3. Step 3: Cross multiply
    663,233.44x = 994,992.32 × 213,980
  4. Step 4: Simplify right side
    663,233.44x = 212,908,456,633.60
  5. Step 5: Solve for x
    x = 212,908,456,633.60/663,233.44
  6. Step 6: Final answer
    x = 321,015.87

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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.