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Finding the Fourth Proportional to 378,820.88, 522,785.36 and 206,748.24

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Solution

The fourth proportional to 378,820.88, 522,785.36 and 206,748.24 is: 285,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,820.88 : 522,785.36 = 206,748.24 : x
  2. Step 2: Convert to fraction form
    378,820.88/522,785.36 = 206,748.24/x
  3. Step 3: Cross multiply
    378,820.88x = 522,785.36 × 206,748.24
  4. Step 4: Simplify right side
    378,820.88x = 108,084,953,077.77
  5. Step 5: Solve for x
    x = 108,084,953,077.77/378,820.88
  6. Step 6: Final answer
    x = 285,319.42

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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.