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Finding the Fourth Proportional to 378,286.13, 522,034.86 and 208,523.90

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Solution

The fourth proportional to 378,286.13, 522,034.86 and 208,523.90 is: 287,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,286.13 : 522,034.86 = 208,523.90 : x
  2. Step 2: Convert to fraction form
    378,286.13/522,034.86 = 208,523.90/x
  3. Step 3: Cross multiply
    378,286.13x = 522,034.86 × 208,523.90
  4. Step 4: Simplify right side
    378,286.13x = 108,856,742,332.98
  5. Step 5: Solve for x
    x = 108,856,742,332.98/378,286.13
  6. Step 6: Final answer
    x = 287,762.98

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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.