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Finding the Fourth Proportional to 378,873.09, 522,843.79 and 209,106

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Solution

The fourth proportional to 378,873.09, 522,843.79 and 209,106 is: 288,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,873.09 : 522,843.79 = 209,106 : x
  2. Step 2: Convert to fraction form
    378,873.09/522,843.79 = 209,106/x
  3. Step 3: Cross multiply
    378,873.09x = 522,843.79 × 209,106
  4. Step 4: Simplify right side
    378,873.09x = 109,329,773,551.74
  5. Step 5: Solve for x
    x = 109,329,773,551.74/378,873.09
  6. Step 6: Final answer
    x = 288,565.69

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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.