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Finding the Fourth Proportional to 383,930.42, 529,798.86 and 230,940.21

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Solution

The fourth proportional to 383,930.42, 529,798.86 and 230,940.21 is: 318,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,930.42 : 529,798.86 = 230,940.21 : x
  2. Step 2: Convert to fraction form
    383,930.42/529,798.86 = 230,940.21/x
  3. Step 3: Cross multiply
    383,930.42x = 529,798.86 × 230,940.21
  4. Step 4: Simplify right side
    383,930.42x = 122,351,861,972.91
  5. Step 5: Solve for x
    x = 122,351,861,972.91/383,930.42
  6. Step 6: Final answer
    x = 318,682.39

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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.