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Finding the Fourth Proportional to 300,257.92, 414,175.44 and 198,284.32

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Solution

The fourth proportional to 300,257.92, 414,175.44 and 198,284.32 is: 273,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,257.92 : 414,175.44 = 198,284.32 : x
  2. Step 2: Convert to fraction form
    300,257.92/414,175.44 = 198,284.32/x
  3. Step 3: Cross multiply
    300,257.92x = 414,175.44 × 198,284.32
  4. Step 4: Simplify right side
    300,257.92x = 82,124,495,481.10
  5. Step 5: Solve for x
    x = 82,124,495,481.10/300,257.92
  6. Step 6: Final answer
    x = 273,513.17

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1.5x scale

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.