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Finding the Fourth Proportional to 378,267.66, 522,005.94 and 206,185.59

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Solution

The fourth proportional to 378,267.66, 522,005.94 and 206,185.59 is: 284,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,267.66 : 522,005.94 = 206,185.59 : x
  2. Step 2: Convert to fraction form
    378,267.66/522,005.94 = 206,185.59/x
  3. Step 3: Cross multiply
    378,267.66x = 522,005.94 × 206,185.59
  4. Step 4: Simplify right side
    378,267.66x = 107,630,102,722.41
  5. Step 5: Solve for x
    x = 107,630,102,722.41/378,267.66
  6. Step 6: Final answer
    x = 284,534.24

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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.