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Finding the Fourth Proportional to 378,112.92, 521,793.66 and 206,030.76

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Solution

The fourth proportional to 378,112.92, 521,793.66 and 206,030.76 is: 284,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,112.92 : 521,793.66 = 206,030.76 : x
  2. Step 2: Convert to fraction form
    378,112.92/521,793.66 = 206,030.76/x
  3. Step 3: Cross multiply
    378,112.92x = 521,793.66 × 206,030.76
  4. Step 4: Simplify right side
    378,112.92x = 107,505,544,332.98
  5. Step 5: Solve for x
    x = 107,505,544,332.98/378,112.92
  6. Step 6: Final answer
    x = 284,321.27

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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.