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Finding the Fourth Proportional to 378,105.48, 521,781.24 and 214,760.88

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Solution

The fourth proportional to 378,105.48, 521,781.24 and 214,760.88 is: 296,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,105.48 : 521,781.24 = 214,760.88 : x
  2. Step 2: Convert to fraction form
    378,105.48/521,781.24 = 214,760.88/x
  3. Step 3: Cross multiply
    378,105.48x = 521,781.24 × 214,760.88
  4. Step 4: Simplify right side
    378,105.48x = 112,058,198,269.89
  5. Step 5: Solve for x
    x = 112,058,198,269.89/378,105.48
  6. Step 6: Final answer
    x = 296,367.56

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1.5x scale

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.