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Finding the Fourth Proportional to 378,906.55, 522,903.70 and 206,834.72

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Solution

The fourth proportional to 378,906.55, 522,903.70 and 206,834.72 is: 285,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,906.55 : 522,903.70 = 206,834.72 : x
  2. Step 2: Convert to fraction form
    378,906.55/522,903.70 = 206,834.72/x
  3. Step 3: Cross multiply
    378,906.55x = 522,903.70 × 206,834.72
  4. Step 4: Simplify right side
    378,906.55x = 108,154,638,602.21
  5. Step 5: Solve for x
    x = 108,154,638,602.21/378,906.55
  6. Step 6: Final answer
    x = 285,438.82

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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.