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Finding the Fourth Proportional to 378,820.36, 522,784.65 and 206,747.74

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Solution

The fourth proportional to 378,820.36, 522,784.65 and 206,747.74 is: 285,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,820.36 : 522,784.65 = 206,747.74 : x
  2. Step 2: Convert to fraction form
    378,820.36/522,784.65 = 206,747.74/x
  3. Step 3: Cross multiply
    378,820.36x = 522,784.65 × 206,747.74
  4. Step 4: Simplify right side
    378,820.36x = 108,084,544,894.19
  5. Step 5: Solve for x
    x = 108,084,544,894.19/378,820.36
  6. Step 6: Final answer
    x = 285,318.73

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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.