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Finding the Fourth Proportional to 257,911.88, 386,691.37 and 131,307.14

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Solution

The fourth proportional to 257,911.88, 386,691.37 and 131,307.14 is: 196,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,911.88 : 386,691.37 = 131,307.14 : x
  2. Step 2: Convert to fraction form
    257,911.88/386,691.37 = 131,307.14/x
  3. Step 3: Cross multiply
    257,911.88x = 386,691.37 × 131,307.14
  4. Step 4: Simplify right side
    257,911.88x = 50,775,337,487.68
  5. Step 5: Solve for x
    x = 50,775,337,487.68/257,911.88
  6. Step 6: Final answer
    x = 196,870.87

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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.