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Finding the Fourth Proportional to 378,902.52, 522,882.14 and 209,133

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Solution

The fourth proportional to 378,902.52, 522,882.14 and 209,133 is: 288,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,902.52 : 522,882.14 = 209,133 : x
  2. Step 2: Convert to fraction form
    378,902.52/522,882.14 = 209,133/x
  3. Step 3: Cross multiply
    378,902.52x = 522,882.14 × 209,133
  4. Step 4: Simplify right side
    378,902.52x = 109,351,909,538.96
  5. Step 5: Solve for x
    x = 109,351,909,538.96/378,902.52
  6. Step 6: Final answer
    x = 288,601.70

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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.