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Finding the Fourth Proportional to 321,641.64, 443,918.61 and 178,447.82

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Solution

The fourth proportional to 321,641.64, 443,918.61 and 178,447.82 is: 246,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,641.64 : 443,918.61 = 178,447.82 : x
  2. Step 2: Convert to fraction form
    321,641.64/443,918.61 = 178,447.82/x
  3. Step 3: Cross multiply
    321,641.64x = 443,918.61 × 178,447.82
  4. Step 4: Simplify right side
    321,641.64x = 79,216,305,992.34
  5. Step 5: Solve for x
    x = 79,216,305,992.34/321,641.64
  6. Step 6: Final answer
    x = 246,287.47

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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.