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Finding the Fourth Proportional to 321,097.28, 443,185.44 and 187,039.04

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Solution

The fourth proportional to 321,097.28, 443,185.44 and 187,039.04 is: 258,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,097.28 : 443,185.44 = 187,039.04 : x
  2. Step 2: Convert to fraction form
    321,097.28/443,185.44 = 187,039.04/x
  3. Step 3: Cross multiply
    321,097.28x = 443,185.44 × 187,039.04
  4. Step 4: Simplify right side
    321,097.28x = 82,892,979,239.58
  5. Step 5: Solve for x
    x = 82,892,979,239.58/321,097.28
  6. Step 6: Final answer
    x = 258,155.35

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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.