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Finding the Fourth Proportional to 329,106.38, 493,659.56 and 79,788.38

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Solution

The fourth proportional to 329,106.38, 493,659.56 and 79,788.38 is: 119,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,106.38 : 493,659.56 = 79,788.38 : x
  2. Step 2: Convert to fraction form
    329,106.38/493,659.56 = 79,788.38/x
  3. Step 3: Cross multiply
    329,106.38x = 493,659.56 × 79,788.38
  4. Step 4: Simplify right side
    329,106.38x = 39,388,294,295.09
  5. Step 5: Solve for x
    x = 39,388,294,295.09/329,106.38
  6. Step 6: Final answer
    x = 119,682.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.