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Finding the Fourth Proportional to 378,495.91, 522,306.78 and 217,237.46

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Solution

The fourth proportional to 378,495.91, 522,306.78 and 217,237.46 is: 299,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,495.91 : 522,306.78 = 217,237.46 : x
  2. Step 2: Convert to fraction form
    378,495.91/522,306.78 = 217,237.46/x
  3. Step 3: Cross multiply
    378,495.91x = 522,306.78 × 217,237.46
  4. Step 4: Simplify right side
    378,495.91x = 113,464,598,227.98
  5. Step 5: Solve for x
    x = 113,464,598,227.98/378,495.91
  6. Step 6: Final answer
    x = 299,777.61

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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.