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Finding the Fourth Proportional to 378,299.44, 522,053.12 and 208,536.40

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Solution

The fourth proportional to 378,299.44, 522,053.12 and 208,536.40 is: 287,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,299.44 : 522,053.12 = 208,536.40 : x
  2. Step 2: Convert to fraction form
    378,299.44/522,053.12 = 208,536.40/x
  3. Step 3: Cross multiply
    378,299.44x = 522,053.12 × 208,536.40
  4. Step 4: Simplify right side
    378,299.44x = 108,867,078,253.57
  5. Step 5: Solve for x
    x = 108,867,078,253.57/378,299.44
  6. Step 6: Final answer
    x = 287,780.17

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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.