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Finding the Fourth Proportional to 378,810.36, 522,770.85 and 206,737.74

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Solution

The fourth proportional to 378,810.36, 522,770.85 and 206,737.74 is: 285,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,810.36 : 522,770.85 = 206,737.74 : x
  2. Step 2: Convert to fraction form
    378,810.36/522,770.85 = 206,737.74/x
  3. Step 3: Cross multiply
    378,810.36x = 522,770.85 × 206,737.74
  4. Step 4: Simplify right side
    378,810.36x = 108,076,464,066.88
  5. Step 5: Solve for x
    x = 108,076,464,066.88/378,810.36
  6. Step 6: Final answer
    x = 285,304.93

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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.