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Finding the Fourth Proportional to 287,198.16, 396,370.56 and 164,738.28

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Solution

The fourth proportional to 287,198.16, 396,370.56 and 164,738.28 is: 227,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,198.16 : 396,370.56 = 164,738.28 : x
  2. Step 2: Convert to fraction form
    287,198.16/396,370.56 = 164,738.28/x
  3. Step 3: Cross multiply
    287,198.16x = 396,370.56 × 164,738.28
  4. Step 4: Simplify right side
    287,198.16x = 65,297,404,297.04
  5. Step 5: Solve for x
    x = 65,297,404,297.04/287,198.16
  6. Step 6: Final answer
    x = 227,360.11

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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.