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Finding the Fourth Proportional to 383,880.83, 529,757.37 and 211,798.78

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Solution

The fourth proportional to 383,880.83, 529,757.37 and 211,798.78 is: 292,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,880.83 : 529,757.37 = 211,798.78 : x
  2. Step 2: Convert to fraction form
    383,880.83/529,757.37 = 211,798.78/x
  3. Step 3: Cross multiply
    383,880.83x = 529,757.37 × 211,798.78
  4. Step 4: Simplify right side
    383,880.83x = 112,201,964,662.01
  5. Step 5: Solve for x
    x = 112,201,964,662.01/383,880.83
  6. Step 6: Final answer
    x = 292,283.33

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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.