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Finding the Fourth Proportional to 219,278.21, 328,917.38 and 77,228.37

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Solution

The fourth proportional to 219,278.21, 328,917.38 and 77,228.37 is: 115,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,278.21 : 328,917.38 = 77,228.37 : x
  2. Step 2: Convert to fraction form
    219,278.21/328,917.38 = 77,228.37/x
  3. Step 3: Cross multiply
    219,278.21x = 328,917.38 × 77,228.37
  4. Step 4: Simplify right side
    219,278.21x = 25,401,752,735.93
  5. Step 5: Solve for x
    x = 25,401,752,735.93/219,278.21
  6. Step 6: Final answer
    x = 115,842.58

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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.