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Finding the Fourth Proportional to 378,160.83, 521,855.19 and 206,080.29

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Solution

The fourth proportional to 378,160.83, 521,855.19 and 206,080.29 is: 284,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,160.83 : 521,855.19 = 206,080.29 : x
  2. Step 2: Convert to fraction form
    378,160.83/521,855.19 = 206,080.29/x
  3. Step 3: Cross multiply
    378,160.83x = 521,855.19 × 206,080.29
  4. Step 4: Simplify right side
    378,160.83x = 107,544,068,893.21
  5. Step 5: Solve for x
    x = 107,544,068,893.21/378,160.83
  6. Step 6: Final answer
    x = 284,387.12

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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.