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Finding the Fourth Proportional to 379,618.36, 523,896.32 and 218,469.90

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Solution

The fourth proportional to 379,618.36, 523,896.32 and 218,469.90 is: 301,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,618.36 : 523,896.32 = 218,469.90 : x
  2. Step 2: Convert to fraction form
    379,618.36/523,896.32 = 218,469.90/x
  3. Step 3: Cross multiply
    379,618.36x = 523,896.32 × 218,469.90
  4. Step 4: Simplify right side
    379,618.36x = 114,455,576,640.77
  5. Step 5: Solve for x
    x = 114,455,576,640.77/379,618.36
  6. Step 6: Final answer
    x = 301,501.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.