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Finding the Fourth Proportional to 378,674.46, 522,552.54 and 206,582.16

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Solution

The fourth proportional to 378,674.46, 522,552.54 and 206,582.16 is: 285,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,674.46 : 522,552.54 = 206,582.16 : x
  2. Step 2: Convert to fraction form
    378,674.46/522,552.54 = 206,582.16/x
  3. Step 3: Cross multiply
    378,674.46x = 522,552.54 × 206,582.16
  4. Step 4: Simplify right side
    378,674.46x = 107,950,031,393.78
  5. Step 5: Solve for x
    x = 107,950,031,393.78/378,674.46
  6. Step 6: Final answer
    x = 285,073.44

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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.