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Finding the Fourth Proportional to 309,668.62, 464,453.21 and 84,976.58

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Solution

The fourth proportional to 309,668.62, 464,453.21 and 84,976.58 is: 127,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,668.62 : 464,453.21 = 84,976.58 : x
  2. Step 2: Convert to fraction form
    309,668.62/464,453.21 = 84,976.58/x
  3. Step 3: Cross multiply
    309,668.62x = 464,453.21 × 84,976.58
  4. Step 4: Simplify right side
    309,668.62x = 39,467,645,355.82
  5. Step 5: Solve for x
    x = 39,467,645,355.82/309,668.62
  6. Step 6: Final answer
    x = 127,451.23

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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.