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Finding the Fourth Proportional to 612,772.11, 919,182.87 and 213,453.27

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Solution

The fourth proportional to 612,772.11, 919,182.87 and 213,453.27 is: 320,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,772.11 : 919,182.87 = 213,453.27 : x
  2. Step 2: Convert to fraction form
    612,772.11/919,182.87 = 213,453.27/x
  3. Step 3: Cross multiply
    612,772.11x = 919,182.87 × 213,453.27
  4. Step 4: Simplify right side
    612,772.11x = 196,202,589,329.49
  5. Step 5: Solve for x
    x = 196,202,589,329.49/612,772.11
  6. Step 6: Final answer
    x = 320,188.51

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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.