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Finding the Fourth Proportional to 378,871.09, 522,841.03 and 209,104

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Solution

The fourth proportional to 378,871.09, 522,841.03 and 209,104 is: 288,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,871.09 : 522,841.03 = 209,104 : x
  2. Step 2: Convert to fraction form
    378,871.09/522,841.03 = 209,104/x
  3. Step 3: Cross multiply
    378,871.09x = 522,841.03 × 209,104
  4. Step 4: Simplify right side
    378,871.09x = 109,328,150,737.12
  5. Step 5: Solve for x
    x = 109,328,150,737.12/378,871.09
  6. Step 6: Final answer
    x = 288,562.93

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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.