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Finding the Fourth Proportional to 378,672.45, 522,567.93 and 208,906.56

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Solution

The fourth proportional to 378,672.45, 522,567.93 and 208,906.56 is: 288,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,672.45 : 522,567.93 = 208,906.56 : x
  2. Step 2: Convert to fraction form
    378,672.45/522,567.93 = 208,906.56/x
  3. Step 3: Cross multiply
    378,672.45x = 522,567.93 × 208,906.56
  4. Step 4: Simplify right side
    378,672.45x = 109,167,868,622.62
  5. Step 5: Solve for x
    x = 109,167,868,622.62/378,672.45
  6. Step 6: Final answer
    x = 288,291.02

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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.