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Finding the Fourth Proportional to 980,138, 1,469,826.24 and 381,019.84

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Solution

The fourth proportional to 980,138, 1,469,826.24 and 381,019.84 is: 571,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,138 : 1,469,826.24 = 381,019.84 : x
  2. Step 2: Convert to fraction form
    980,138/1,469,826.24 = 381,019.84/x
  3. Step 3: Cross multiply
    980,138x = 1,469,826.24 × 381,019.84
  4. Step 4: Simplify right side
    980,138x = 560,032,958,792.60
  5. Step 5: Solve for x
    x = 560,032,958,792.60/980,138
  6. Step 6: Final answer
    x = 571,381.74

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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.