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Finding the Fourth Proportional to 378,717.80, 522,676.85 and 217,572.54

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Solution

The fourth proportional to 378,717.80, 522,676.85 and 217,572.54 is: 300,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,717.80 : 522,676.85 = 217,572.54 : x
  2. Step 2: Convert to fraction form
    378,717.80/522,676.85 = 217,572.54/x
  3. Step 3: Cross multiply
    378,717.80x = 522,676.85 × 217,572.54
  4. Step 4: Simplify right side
    378,717.80x = 113,720,128,765.84
  5. Step 5: Solve for x
    x = 113,720,128,765.84/378,717.80
  6. Step 6: Final answer
    x = 300,276.70

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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.