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Finding the Fourth Proportional to 378,520.04, 522,358.17 and 206,438.42

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Solution

The fourth proportional to 378,520.04, 522,358.17 and 206,438.42 is: 284,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,520.04 : 522,358.17 = 206,438.42 : x
  2. Step 2: Convert to fraction form
    378,520.04/522,358.17 = 206,438.42/x
  3. Step 3: Cross multiply
    378,520.04x = 522,358.17 × 206,438.42
  4. Step 4: Simplify right side
    378,520.04x = 107,834,795,288.89
  5. Step 5: Solve for x
    x = 107,834,795,288.89/378,520.04
  6. Step 6: Final answer
    x = 284,885.30

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1.5x scale

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.