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Finding the Fourth Proportional to 378,340.94, 522,114.12 and 208,581.14

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Solution

The fourth proportional to 378,340.94, 522,114.12 and 208,581.14 is: 287,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,340.94 : 522,114.12 = 208,581.14 : x
  2. Step 2: Convert to fraction form
    378,340.94/522,114.12 = 208,581.14/x
  3. Step 3: Cross multiply
    378,340.94x = 522,114.12 × 208,581.14
  4. Step 4: Simplify right side
    378,340.94x = 108,903,158,359.70
  5. Step 5: Solve for x
    x = 108,903,158,359.70/378,340.94
  6. Step 6: Final answer
    x = 287,843.97

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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.