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Finding the Fourth Proportional to 230,654.64, 318,020.60 and 189,675.56

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Solution

The fourth proportional to 230,654.64, 318,020.60 and 189,675.56 is: 261,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,654.64 : 318,020.60 = 189,675.56 : x
  2. Step 2: Convert to fraction form
    230,654.64/318,020.60 = 189,675.56/x
  3. Step 3: Cross multiply
    230,654.64x = 318,020.60 × 189,675.56
  4. Step 4: Simplify right side
    230,654.64x = 60,320,733,809.99
  5. Step 5: Solve for x
    x = 60,320,733,809.99/230,654.64
  6. Step 6: Final answer
    x = 261,519.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.