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Finding the Fourth Proportional to 309,290.87, 463,790.70 and 119,839.97

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Solution

The fourth proportional to 309,290.87, 463,790.70 and 119,839.97 is: 179,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,290.87 : 463,790.70 = 119,839.97 : x
  2. Step 2: Convert to fraction form
    309,290.87/463,790.70 = 119,839.97/x
  3. Step 3: Cross multiply
    309,290.87x = 463,790.70 × 119,839.97
  4. Step 4: Simplify right side
    309,290.87x = 55,580,661,255.33
  5. Step 5: Solve for x
    x = 55,580,661,255.33/309,290.87
  6. Step 6: Final answer
    x = 179,703.53

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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.