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Finding the Fourth Proportional to 321,888, 444,205.44 and 180,576

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Solution

The fourth proportional to 321,888, 444,205.44 and 180,576 is: 249,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,888 : 444,205.44 = 180,576 : x
  2. Step 2: Convert to fraction form
    321,888/444,205.44 = 180,576/x
  3. Step 3: Cross multiply
    321,888x = 444,205.44 × 180,576
  4. Step 4: Simplify right side
    321,888x = 80,212,841,533.44
  5. Step 5: Solve for x
    x = 80,212,841,533.44/321,888
  6. Step 6: Final answer
    x = 249,194.88

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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.