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Finding the Fourth Proportional to 667,759.14, 921,487.59 and 381,223.26

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Solution

The fourth proportional to 667,759.14, 921,487.59 and 381,223.26 is: 526,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,759.14 : 921,487.59 = 381,223.26 : x
  2. Step 2: Convert to fraction form
    667,759.14/921,487.59 = 381,223.26/x
  3. Step 3: Cross multiply
    667,759.14x = 921,487.59 × 381,223.26
  4. Step 4: Simplify right side
    667,759.14x = 351,292,503,109.34
  5. Step 5: Solve for x
    x = 351,292,503,109.34/667,759.14
  6. Step 6: Final answer
    x = 526,076.67

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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.