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Finding the Fourth Proportional to 378,894.92, 522,837.74 and 209,118.10

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Solution

The fourth proportional to 378,894.92, 522,837.74 and 209,118.10 is: 288,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,894.92 : 522,837.74 = 209,118.10 : x
  2. Step 2: Convert to fraction form
    378,894.92/522,837.74 = 209,118.10/x
  3. Step 3: Cross multiply
    378,894.92x = 522,837.74 × 209,118.10
  4. Step 4: Simplify right side
    378,894.92x = 109,334,834,797.09
  5. Step 5: Solve for x
    x = 109,334,834,797.09/378,894.92
  6. Step 6: Final answer
    x = 288,562.42

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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.