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Finding the Fourth Proportional to 378,920.58, 522,914.67 and 209,154.66

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Solution

The fourth proportional to 378,920.58, 522,914.67 and 209,154.66 is: 288,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,920.58 : 522,914.67 = 209,154.66 : x
  2. Step 2: Convert to fraction form
    378,920.58/522,914.67 = 209,154.66/x
  3. Step 3: Cross multiply
    378,920.58x = 522,914.67 × 209,154.66
  4. Step 4: Simplify right side
    378,920.58x = 109,370,040,012.86
  5. Step 5: Solve for x
    x = 109,370,040,012.86/378,920.58
  6. Step 6: Final answer
    x = 288,635.79

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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.