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Finding the Fourth Proportional to 378,894.52, 522,871.09 and 209,125

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Solution

The fourth proportional to 378,894.52, 522,871.09 and 209,125 is: 288,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,894.52 : 522,871.09 = 209,125 : x
  2. Step 2: Convert to fraction form
    378,894.52/522,871.09 = 209,125/x
  3. Step 3: Cross multiply
    378,894.52x = 522,871.09 × 209,125
  4. Step 4: Simplify right side
    378,894.52x = 109,345,416,696.25
  5. Step 5: Solve for x
    x = 109,345,416,696.25/378,894.52
  6. Step 6: Final answer
    x = 288,590.65

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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.