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Finding the Fourth Proportional to 378,920.40, 522,914.49 and 209,154.66

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Solution

The fourth proportional to 378,920.40, 522,914.49 and 209,154.66 is: 288,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,920.40 : 522,914.49 = 209,154.66 : x
  2. Step 2: Convert to fraction form
    378,920.40/522,914.49 = 209,154.66/x
  3. Step 3: Cross multiply
    378,920.40x = 522,914.49 × 209,154.66
  4. Step 4: Simplify right side
    378,920.40x = 109,370,002,365.02
  5. Step 5: Solve for x
    x = 109,370,002,365.02/378,920.40
  6. Step 6: Final answer
    x = 288,635.83

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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.