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Finding the Fourth Proportional to 298,078.41, 447,022.74 and 98,361.57

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Solution

The fourth proportional to 298,078.41, 447,022.74 and 98,361.57 is: 147,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,078.41 : 447,022.74 = 98,361.57 : x
  2. Step 2: Convert to fraction form
    298,078.41/447,022.74 = 98,361.57/x
  3. Step 3: Cross multiply
    298,078.41x = 447,022.74 × 98,361.57
  4. Step 4: Simplify right side
    298,078.41x = 43,969,858,532.10
  5. Step 5: Solve for x
    x = 43,969,858,532.10/298,078.41
  6. Step 6: Final answer
    x = 147,511.05

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1.5x scale

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.