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Finding the Fourth Proportional to 383,978, 529,888.12 and 214,211.92

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Solution

The fourth proportional to 383,978, 529,888.12 and 214,211.92 is: 295,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,978 : 529,888.12 = 214,211.92 : x
  2. Step 2: Convert to fraction form
    383,978/529,888.12 = 214,211.92/x
  3. Step 3: Cross multiply
    383,978x = 529,888.12 × 214,211.92
  4. Step 4: Simplify right side
    383,978x = 113,508,351,570.39
  5. Step 5: Solve for x
    x = 113,508,351,570.39/383,978
  6. Step 6: Final answer
    x = 295,611.60

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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.