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Finding the Fourth Proportional to 378,989.04, 522,991.17 and 209,219.52

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Solution

The fourth proportional to 378,989.04, 522,991.17 and 209,219.52 is: 288,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,989.04 : 522,991.17 = 209,219.52 : x
  2. Step 2: Convert to fraction form
    378,989.04/522,991.17 = 209,219.52/x
  3. Step 3: Cross multiply
    378,989.04x = 522,991.17 × 209,219.52
  4. Step 4: Simplify right side
    378,989.04x = 109,419,961,551.64
  5. Step 5: Solve for x
    x = 109,419,961,551.64/378,989.04
  6. Step 6: Final answer
    x = 288,715.37

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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.