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Finding the Fourth Proportional to 378,869.87, 522,851.29 and 206,798.54

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Solution

The fourth proportional to 378,869.87, 522,851.29 and 206,798.54 is: 285,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,869.87 : 522,851.29 = 206,798.54 : x
  2. Step 2: Convert to fraction form
    378,869.87/522,851.29 = 206,798.54/x
  3. Step 3: Cross multiply
    378,869.87x = 522,851.29 × 206,798.54
  4. Step 4: Simplify right side
    378,869.87x = 108,124,880,277.86
  5. Step 5: Solve for x
    x = 108,124,880,277.86/378,869.87
  6. Step 6: Final answer
    x = 285,387.91

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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.