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Finding the Fourth Proportional to 218,740.80, 327,455.10 and 205,764.60

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Solution

The fourth proportional to 218,740.80, 327,455.10 and 205,764.60 is: 308,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,740.80 : 327,455.10 = 205,764.60 : x
  2. Step 2: Convert to fraction form
    218,740.80/327,455.10 = 205,764.60/x
  3. Step 3: Cross multiply
    218,740.80x = 327,455.10 × 205,764.60
  4. Step 4: Simplify right side
    218,740.80x = 67,378,667,669.46
  5. Step 5: Solve for x
    x = 67,378,667,669.46/218,740.80
  6. Step 6: Final answer
    x = 308,029.72

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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.