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Finding the Fourth Proportional to 612,768.74, 919,177.83 and 213,449.90

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Solution

The fourth proportional to 612,768.74, 919,177.83 and 213,449.90 is: 320,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,768.74 : 919,177.83 = 213,449.90 : x
  2. Step 2: Convert to fraction form
    612,768.74/919,177.83 = 213,449.90/x
  3. Step 3: Cross multiply
    612,768.74x = 919,177.83 × 213,449.90
  4. Step 4: Simplify right side
    612,768.74x = 196,198,411,299.83
  5. Step 5: Solve for x
    x = 196,198,411,299.83/612,768.74
  6. Step 6: Final answer
    x = 320,183.46

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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.