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Finding the Fourth Proportional to 321,786.97, 442,491.33 and 279,271.69

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Solution

The fourth proportional to 321,786.97, 442,491.33 and 279,271.69 is: 384,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,786.97 : 442,491.33 = 279,271.69 : x
  2. Step 2: Convert to fraction form
    321,786.97/442,491.33 = 279,271.69/x
  3. Step 3: Cross multiply
    321,786.97x = 442,491.33 × 279,271.69
  4. Step 4: Simplify right side
    321,786.97x = 123,575,301,539.45
  5. Step 5: Solve for x
    x = 123,575,301,539.45/321,786.97
  6. Step 6: Final answer
    x = 384,028.30

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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.