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Finding the Fourth Proportional to 383,569, 529,305.96 and 213,770.32

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Solution

The fourth proportional to 383,569, 529,305.96 and 213,770.32 is: 294,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,569 : 529,305.96 = 213,770.32 : x
  2. Step 2: Convert to fraction form
    383,569/529,305.96 = 213,770.32/x
  3. Step 3: Cross multiply
    383,569x = 529,305.96 × 213,770.32
  4. Step 4: Simplify right side
    383,569x = 113,149,904,447.11
  5. Step 5: Solve for x
    x = 113,149,904,447.11/383,569
  6. Step 6: Final answer
    x = 294,992.31

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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.