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Finding the Fourth Proportional to 378,825.19, 522,781.76 and 206,744.51

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Solution

The fourth proportional to 378,825.19, 522,781.76 and 206,744.51 is: 285,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,825.19 : 522,781.76 = 206,744.51 : x
  2. Step 2: Convert to fraction form
    378,825.19/522,781.76 = 206,744.51/x
  3. Step 3: Cross multiply
    378,825.19x = 522,781.76 × 206,744.51
  4. Step 4: Simplify right side
    378,825.19x = 108,082,258,808.14
  5. Step 5: Solve for x
    x = 108,082,258,808.14/378,825.19
  6. Step 6: Final answer
    x = 285,309.06

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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.