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Finding the Fourth Proportional to 378,396.60, 522,163.50 and 208,632.12

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Solution

The fourth proportional to 378,396.60, 522,163.50 and 208,632.12 is: 287,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,396.60 : 522,163.50 = 208,632.12 : x
  2. Step 2: Convert to fraction form
    378,396.60/522,163.50 = 208,632.12/x
  3. Step 3: Cross multiply
    378,396.60x = 522,163.50 × 208,632.12
  4. Step 4: Simplify right side
    378,396.60x = 108,940,077,991.62
  5. Step 5: Solve for x
    x = 108,940,077,991.62/378,396.60
  6. Step 6: Final answer
    x = 287,899.20

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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.