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Finding the Fourth Proportional to 257,794.79, 386,663.36 and 80,286.93

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Solution

The fourth proportional to 257,794.79, 386,663.36 and 80,286.93 is: 120,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,794.79 : 386,663.36 = 80,286.93 : x
  2. Step 2: Convert to fraction form
    257,794.79/386,663.36 = 80,286.93/x
  3. Step 3: Cross multiply
    257,794.79x = 386,663.36 × 80,286.93
  4. Step 4: Simplify right side
    257,794.79x = 31,044,013,716.45
  5. Step 5: Solve for x
    x = 31,044,013,716.45/257,794.79
  6. Step 6: Final answer
    x = 120,421.42

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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.