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Finding the Fourth Proportional to 219,149.98, 328,743.71 and 76,982.83

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Solution

The fourth proportional to 219,149.98, 328,743.71 and 76,982.83 is: 115,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,149.98 : 328,743.71 = 76,982.83 : x
  2. Step 2: Convert to fraction form
    219,149.98/328,743.71 = 76,982.83/x
  3. Step 3: Cross multiply
    219,149.98x = 328,743.71 × 76,982.83
  4. Step 4: Simplify right side
    219,149.98x = 25,307,621,140.50
  5. Step 5: Solve for x
    x = 25,307,621,140.50/219,149.98
  6. Step 6: Final answer
    x = 115,480.83

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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.