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Finding the Fourth Proportional to 383,879.83, 529,755.99 and 211,797.78

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Solution

The fourth proportional to 383,879.83, 529,755.99 and 211,797.78 is: 292,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,879.83 : 529,755.99 = 211,797.78 : x
  2. Step 2: Convert to fraction form
    383,879.83/529,755.99 = 211,797.78/x
  3. Step 3: Cross multiply
    383,879.83x = 529,755.99 × 211,797.78
  4. Step 4: Simplify right side
    383,879.83x = 112,201,141,299.31
  5. Step 5: Solve for x
    x = 112,201,141,299.31/383,879.83
  6. Step 6: Final answer
    x = 292,281.94

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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.