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Finding the Fourth Proportional to 309,857.14, 427,992.60 and 255,605.90

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Solution

The fourth proportional to 309,857.14, 427,992.60 and 255,605.90 is: 353,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,857.14 : 427,992.60 = 255,605.90 : x
  2. Step 2: Convert to fraction form
    309,857.14/427,992.60 = 255,605.90/x
  3. Step 3: Cross multiply
    309,857.14x = 427,992.60 × 255,605.90
  4. Step 4: Simplify right side
    309,857.14x = 109,397,433,716.34
  5. Step 5: Solve for x
    x = 109,397,433,716.34/309,857.14
  6. Step 6: Final answer
    x = 353,057.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.