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Finding the Fourth Proportional to 257,794.46, 386,663.04 and 80,286.62

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Solution

The fourth proportional to 257,794.46, 386,663.04 and 80,286.62 is: 120,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,794.46 : 386,663.04 = 80,286.62 : x
  2. Step 2: Convert to fraction form
    257,794.46/386,663.04 = 80,286.62/x
  3. Step 3: Cross multiply
    257,794.46x = 386,663.04 × 80,286.62
  4. Step 4: Simplify right side
    257,794.46x = 31,043,868,560.52
  5. Step 5: Solve for x
    x = 31,043,868,560.52/257,794.46
  6. Step 6: Final answer
    x = 120,421.01

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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.