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Finding the Fourth Proportional to 329,097, 493,645.50 and 79,779

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Solution

The fourth proportional to 329,097, 493,645.50 and 79,779 is: 119,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,097 : 493,645.50 = 79,779 : x
  2. Step 2: Convert to fraction form
    329,097/493,645.50 = 79,779/x
  3. Step 3: Cross multiply
    329,097x = 493,645.50 × 79,779
  4. Step 4: Simplify right side
    329,097x = 39,382,544,344.50
  5. Step 5: Solve for x
    x = 39,382,544,344.50/329,097
  6. Step 6: Final answer
    x = 119,668.50

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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.