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Finding the Fourth Proportional to 300,502.09, 414,974.30 and 193,258.90

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Solution

The fourth proportional to 300,502.09, 414,974.30 and 193,258.90 is: 266,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,502.09 : 414,974.30 = 193,258.90 : x
  2. Step 2: Convert to fraction form
    300,502.09/414,974.30 = 193,258.90/x
  3. Step 3: Cross multiply
    300,502.09x = 414,974.30 × 193,258.90
  4. Step 4: Simplify right side
    300,502.09x = 80,197,476,746.27
  5. Step 5: Solve for x
    x = 80,197,476,746.27/300,502.09
  6. Step 6: Final answer
    x = 266,878.27

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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.