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Finding the Fourth Proportional to 377,284.43, 520,498.86 and 213,906.53

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Solution

The fourth proportional to 377,284.43, 520,498.86 and 213,906.53 is: 295,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,284.43 : 520,498.86 = 213,906.53 : x
  2. Step 2: Convert to fraction form
    377,284.43/520,498.86 = 213,906.53/x
  3. Step 3: Cross multiply
    377,284.43x = 520,498.86 × 213,906.53
  4. Step 4: Simplify right side
    377,284.43x = 111,338,102,409.06
  5. Step 5: Solve for x
    x = 111,338,102,409.06/377,284.43
  6. Step 6: Final answer
    x = 295,103.89

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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.