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Finding the Fourth Proportional to 378,821.35, 522,776.58 and 206,740.72

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Solution

The fourth proportional to 378,821.35, 522,776.58 and 206,740.72 is: 285,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,821.35 : 522,776.58 = 206,740.72 : x
  2. Step 2: Convert to fraction form
    378,821.35/522,776.58 = 206,740.72/x
  3. Step 3: Cross multiply
    378,821.35x = 522,776.58 × 206,740.72
  4. Step 4: Simplify right side
    378,821.35x = 108,079,206,548.34
  5. Step 5: Solve for x
    x = 108,079,206,548.34/378,821.35
  6. Step 6: Final answer
    x = 285,303.89

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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.