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Finding the Fourth Proportional to 812,718, 1,219,086.21 and 213,739.70

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Solution

The fourth proportional to 812,718, 1,219,086.21 and 213,739.70 is: 320,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,718 : 1,219,086.21 = 213,739.70 : x
  2. Step 2: Convert to fraction form
    812,718/1,219,086.21 = 213,739.70/x
  3. Step 3: Cross multiply
    812,718x = 1,219,086.21 × 213,739.70
  4. Step 4: Simplify right side
    812,718x = 260,567,123,847.25
  5. Step 5: Solve for x
    x = 260,567,123,847.25/812,718
  6. Step 6: Final answer
    x = 320,611.98

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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.