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Finding the Fourth Proportional to 383,978.20, 529,890.14 and 214,212.32

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Solution

The fourth proportional to 383,978.20, 529,890.14 and 214,212.32 is: 295,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,978.20 : 529,890.14 = 214,212.32 : x
  2. Step 2: Convert to fraction form
    383,978.20/529,890.14 = 214,212.32/x
  3. Step 3: Cross multiply
    383,978.20x = 529,890.14 × 214,212.32
  4. Step 4: Simplify right side
    383,978.20x = 113,508,996,234.53
  5. Step 5: Solve for x
    x = 113,508,996,234.53/383,978.20
  6. Step 6: Final answer
    x = 295,613.13

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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.