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Finding the Fourth Proportional to 378,792.24, 522,728.28 and 209,022

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Solution

The fourth proportional to 378,792.24, 522,728.28 and 209,022 is: 288,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,792.24 : 522,728.28 = 209,022 : x
  2. Step 2: Convert to fraction form
    378,792.24/522,728.28 = 209,022/x
  3. Step 3: Cross multiply
    378,792.24x = 522,728.28 × 209,022
  4. Step 4: Simplify right side
    378,792.24x = 109,261,710,542.16
  5. Step 5: Solve for x
    x = 109,261,710,542.16/378,792.24
  6. Step 6: Final answer
    x = 288,447.59

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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.