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Finding the Fourth Proportional to 219,204.28, 328,821.27 and 77,032.27

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Solution

The fourth proportional to 219,204.28, 328,821.27 and 77,032.27 is: 115,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,204.28 : 328,821.27 = 77,032.27 : x
  2. Step 2: Convert to fraction form
    219,204.28/328,821.27 = 77,032.27/x
  3. Step 3: Cross multiply
    219,204.28x = 328,821.27 × 77,032.27
  4. Step 4: Simplify right side
    219,204.28x = 25,329,848,852.38
  5. Step 5: Solve for x
    x = 25,329,848,852.38/219,204.28
  6. Step 6: Final answer
    x = 115,553.62

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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.