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Finding the Fourth Proportional to 492,471.21, 738,706.73 and 118,494.21

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Solution

The fourth proportional to 492,471.21, 738,706.73 and 118,494.21 is: 177,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,471.21 : 738,706.73 = 118,494.21 : x
  2. Step 2: Convert to fraction form
    492,471.21/738,706.73 = 118,494.21/x
  3. Step 3: Cross multiply
    492,471.21x = 738,706.73 × 118,494.21
  4. Step 4: Simplify right side
    492,471.21x = 87,532,469,800.56
  5. Step 5: Solve for x
    x = 87,532,469,800.56/492,471.21
  6. Step 6: Final answer
    x = 177,741.29

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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.