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Finding the Fourth Proportional to 257,716.70, 386,587.22 and 212,654.48

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Solution

The fourth proportional to 257,716.70, 386,587.22 and 212,654.48 is: 318,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,716.70 : 386,587.22 = 212,654.48 : x
  2. Step 2: Convert to fraction form
    257,716.70/386,587.22 = 212,654.48/x
  3. Step 3: Cross multiply
    257,716.70x = 386,587.22 × 212,654.48
  4. Step 4: Simplify right side
    257,716.70x = 82,209,504,243.75
  5. Step 5: Solve for x
    x = 82,209,504,243.75/257,716.70
  6. Step 6: Final answer
    x = 318,991.76

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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.