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Finding the Fourth Proportional to 321,842.34, 444,147.30 and 178,611.66

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Solution

The fourth proportional to 321,842.34, 444,147.30 and 178,611.66 is: 246,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,842.34 : 444,147.30 = 178,611.66 : x
  2. Step 2: Convert to fraction form
    321,842.34/444,147.30 = 178,611.66/x
  3. Step 3: Cross multiply
    321,842.34x = 444,147.30 × 178,611.66
  4. Step 4: Simplify right side
    321,842.34x = 79,329,886,537.52
  5. Step 5: Solve for x
    x = 79,329,886,537.52/321,842.34
  6. Step 6: Final answer
    x = 246,486.79

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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.