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Finding the Fourth Proportional to 391,173.59, 586,760.40 and 213,583.73

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Solution

The fourth proportional to 391,173.59, 586,760.40 and 213,583.73 is: 320,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,173.59 : 586,760.40 = 213,583.73 : x
  2. Step 2: Convert to fraction form
    391,173.59/586,760.40 = 213,583.73/x
  3. Step 3: Cross multiply
    391,173.59x = 586,760.40 × 213,583.73
  4. Step 4: Simplify right side
    391,173.59x = 125,322,471,914.49
  5. Step 5: Solve for x
    x = 125,322,471,914.49/391,173.59
  6. Step 6: Final answer
    x = 320,375.59

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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.