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Finding the Fourth Proportional to 257,795.46, 386,664.54 and 80,287.62

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Solution

The fourth proportional to 257,795.46, 386,664.54 and 80,287.62 is: 120,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,795.46 : 386,664.54 = 80,287.62 : x
  2. Step 2: Convert to fraction form
    257,795.46/386,664.54 = 80,287.62/x
  3. Step 3: Cross multiply
    257,795.46x = 386,664.54 × 80,287.62
  4. Step 4: Simplify right side
    257,795.46x = 31,044,375,654.99
  5. Step 5: Solve for x
    x = 31,044,375,654.99/257,795.46
  6. Step 6: Final answer
    x = 120,422.51

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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.