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Finding the Fourth Proportional to 219,874.56, 329,240.79 and 188,485.44

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Solution

The fourth proportional to 219,874.56, 329,240.79 and 188,485.44 is: 282,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,874.56 : 329,240.79 = 188,485.44 : x
  2. Step 2: Convert to fraction form
    219,874.56/329,240.79 = 188,485.44/x
  3. Step 3: Cross multiply
    219,874.56x = 329,240.79 × 188,485.44
  4. Step 4: Simplify right side
    219,874.56x = 62,057,095,169.10
  5. Step 5: Solve for x
    x = 62,057,095,169.10/219,874.56
  6. Step 6: Final answer
    x = 282,238.63

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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.