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Finding the Fourth Proportional to 321,644.52, 443,858.94 and 194,297.94

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Solution

The fourth proportional to 321,644.52, 443,858.94 and 194,297.94 is: 268,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,644.52 : 443,858.94 = 194,297.94 : x
  2. Step 2: Convert to fraction form
    321,644.52/443,858.94 = 194,297.94/x
  3. Step 3: Cross multiply
    321,644.52x = 443,858.94 × 194,297.94
  4. Step 4: Simplify right side
    321,644.52x = 86,240,877,692.58
  5. Step 5: Solve for x
    x = 86,240,877,692.58/321,644.52
  6. Step 6: Final answer
    x = 268,124.82

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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.