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Finding the Fourth Proportional to 378,659.55, 522,550.17 and 208,893.67

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Solution

The fourth proportional to 378,659.55, 522,550.17 and 208,893.67 is: 288,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,659.55 : 522,550.17 = 208,893.67 : x
  2. Step 2: Convert to fraction form
    378,659.55/522,550.17 = 208,893.67/x
  3. Step 3: Cross multiply
    378,659.55x = 522,550.17 × 208,893.67
  4. Step 4: Simplify right side
    378,659.55x = 109,157,422,770.42
  5. Step 5: Solve for x
    x = 109,157,422,770.42/378,659.55
  6. Step 6: Final answer
    x = 288,273.26

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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.