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Finding the Fourth Proportional to 378,272.98, 522,001.00 and 206,187.15

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Solution

The fourth proportional to 378,272.98, 522,001.00 and 206,187.15 is: 284,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,272.98 : 522,001.00 = 206,187.15 : x
  2. Step 2: Convert to fraction form
    378,272.98/522,001.00 = 206,187.15/x
  3. Step 3: Cross multiply
    378,272.98x = 522,001.00 × 206,187.15
  4. Step 4: Simplify right side
    378,272.98x = 107,629,900,315.79
  5. Step 5: Solve for x
    x = 107,629,900,315.79/378,272.98
  6. Step 6: Final answer
    x = 284,529.71

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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.