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Finding the Fourth Proportional to 329,765.05, 494,683.42 and 105,072.67

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Solution

The fourth proportional to 329,765.05, 494,683.42 and 105,072.67 is: 157,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,765.05 : 494,683.42 = 105,072.67 : x
  2. Step 2: Convert to fraction form
    329,765.05/494,683.42 = 105,072.67/x
  3. Step 3: Cross multiply
    329,765.05x = 494,683.42 × 105,072.67
  4. Step 4: Simplify right side
    329,765.05x = 51,977,707,744.13
  5. Step 5: Solve for x
    x = 51,977,707,744.13/329,765.05
  6. Step 6: Final answer
    x = 157,620.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.