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Finding the Fourth Proportional to 312,941.80, 469,414.62 and 76,286.44

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Solution

The fourth proportional to 312,941.80, 469,414.62 and 76,286.44 is: 114,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,941.80 : 469,414.62 = 76,286.44 : x
  2. Step 2: Convert to fraction form
    312,941.80/469,414.62 = 76,286.44/x
  3. Step 3: Cross multiply
    312,941.80x = 469,414.62 × 76,286.44
  4. Step 4: Simplify right side
    312,941.80x = 35,809,970,243.75
  5. Step 5: Solve for x
    x = 35,809,970,243.75/312,941.80
  6. Step 6: Final answer
    x = 114,430.13

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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.