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Finding the Fourth Proportional to 378,284.77, 522,025.68 and 206,204.32

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Solution

The fourth proportional to 378,284.77, 522,025.68 and 206,204.32 is: 284,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,284.77 : 522,025.68 = 206,204.32 : x
  2. Step 2: Convert to fraction form
    378,284.77/522,025.68 = 206,204.32/x
  3. Step 3: Cross multiply
    378,284.77x = 522,025.68 × 206,204.32
  4. Step 4: Simplify right side
    378,284.77x = 107,643,950,366.94
  5. Step 5: Solve for x
    x = 107,643,950,366.94/378,284.77
  6. Step 6: Final answer
    x = 284,557.98

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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.