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Finding the Fourth Proportional to 378,182.17, 521,891.42 and 208,416.30

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Solution

The fourth proportional to 378,182.17, 521,891.42 and 208,416.30 is: 287,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,182.17 : 521,891.42 = 208,416.30 : x
  2. Step 2: Convert to fraction form
    378,182.17/521,891.42 = 208,416.30/x
  3. Step 3: Cross multiply
    378,182.17x = 521,891.42 × 208,416.30
  4. Step 4: Simplify right side
    378,182.17x = 108,770,678,758.15
  5. Step 5: Solve for x
    x = 108,770,678,758.15/378,182.17
  6. Step 6: Final answer
    x = 287,614.51

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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.