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Finding the Fourth Proportional to 307,751.50, 461,687.10 and 118,198

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Solution

The fourth proportional to 307,751.50, 461,687.10 and 118,198 is: 177,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,751.50 : 461,687.10 = 118,198 : x
  2. Step 2: Convert to fraction form
    307,751.50/461,687.10 = 118,198/x
  3. Step 3: Cross multiply
    307,751.50x = 461,687.10 × 118,198
  4. Step 4: Simplify right side
    307,751.50x = 54,570,491,845.80
  5. Step 5: Solve for x
    x = 54,570,491,845.80/307,751.50
  6. Step 6: Final answer
    x = 177,319.99

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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.