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Finding the Fourth Proportional to 381,448.44, 525,198.60 and 323,964.36

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Solution

The fourth proportional to 381,448.44, 525,198.60 and 323,964.36 is: 446,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,448.44 : 525,198.60 = 323,964.36 : x
  2. Step 2: Convert to fraction form
    381,448.44/525,198.60 = 323,964.36/x
  3. Step 3: Cross multiply
    381,448.44x = 525,198.60 × 323,964.36
  4. Step 4: Simplify right side
    381,448.44x = 170,145,628,321.90
  5. Step 5: Solve for x
    x = 170,145,628,321.90/381,448.44
  6. Step 6: Final answer
    x = 446,051.45

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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.