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Finding the Fourth Proportional to 378,993.36, 523,007.46 and 209,223.84

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Solution

The fourth proportional to 378,993.36, 523,007.46 and 209,223.84 is: 288,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,993.36 : 523,007.46 = 209,223.84 : x
  2. Step 2: Convert to fraction form
    378,993.36/523,007.46 = 209,223.84/x
  3. Step 3: Cross multiply
    378,993.36x = 523,007.46 × 209,223.84
  4. Step 4: Simplify right side
    378,993.36x = 109,425,629,129.85
  5. Step 5: Solve for x
    x = 109,425,629,129.85/378,993.36
  6. Step 6: Final answer
    x = 288,727.04

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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.