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Finding the Fourth Proportional to 321,455.91, 443,619.96 and 178,207.41

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Solution

The fourth proportional to 321,455.91, 443,619.96 and 178,207.41 is: 245,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,455.91 : 443,619.96 = 178,207.41 : x
  2. Step 2: Convert to fraction form
    321,455.91/443,619.96 = 178,207.41/x
  3. Step 3: Cross multiply
    321,455.91x = 443,619.96 × 178,207.41
  4. Step 4: Simplify right side
    321,455.91x = 79,056,364,095.90
  5. Step 5: Solve for x
    x = 79,056,364,095.90/321,455.91
  6. Step 6: Final answer
    x = 245,932.22

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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.