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Finding the Fourth Proportional to 383,876.88, 529,751.04 and 214,122

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Solution

The fourth proportional to 383,876.88, 529,751.04 and 214,122 is: 295,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,876.88 : 529,751.04 = 214,122 : x
  2. Step 2: Convert to fraction form
    383,876.88/529,751.04 = 214,122/x
  3. Step 3: Cross multiply
    383,876.88x = 529,751.04 × 214,122
  4. Step 4: Simplify right side
    383,876.88x = 113,431,352,186.88
  5. Step 5: Solve for x
    x = 113,431,352,186.88/383,876.88
  6. Step 6: Final answer
    x = 295,488.89

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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.