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Finding the Fourth Proportional to 378,042.39, 521,698.22 and 208,276.52

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Solution

The fourth proportional to 378,042.39, 521,698.22 and 208,276.52 is: 287,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,042.39 : 521,698.22 = 208,276.52 : x
  2. Step 2: Convert to fraction form
    378,042.39/521,698.22 = 208,276.52/x
  3. Step 3: Cross multiply
    378,042.39x = 521,698.22 × 208,276.52
  4. Step 4: Simplify right side
    378,042.39x = 108,657,486,882.96
  5. Step 5: Solve for x
    x = 108,657,486,882.96/378,042.39
  6. Step 6: Final answer
    x = 287,421.44

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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.