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Finding the Fourth Proportional to 219,184.82, 328,658.77 and 76,993.37

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Solution

The fourth proportional to 219,184.82, 328,658.77 and 76,993.37 is: 115,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,184.82 : 328,658.77 = 76,993.37 : x
  2. Step 2: Convert to fraction form
    219,184.82/328,658.77 = 76,993.37/x
  3. Step 3: Cross multiply
    219,184.82x = 328,658.77 × 76,993.37
  4. Step 4: Simplify right side
    219,184.82x = 25,304,545,897.39
  5. Step 5: Solve for x
    x = 25,304,545,897.39/219,184.82
  6. Step 6: Final answer
    x = 115,448.44

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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.