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Finding the Fourth Proportional to 300,082.12, 414,164.24 and 172,831.36

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Solution

The fourth proportional to 300,082.12, 414,164.24 and 172,831.36 is: 238,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,082.12 : 414,164.24 = 172,831.36 : x
  2. Step 2: Convert to fraction form
    300,082.12/414,164.24 = 172,831.36/x
  3. Step 3: Cross multiply
    300,082.12x = 414,164.24 × 172,831.36
  4. Step 4: Simplify right side
    300,082.12x = 71,580,568,862.57
  5. Step 5: Solve for x
    x = 71,580,568,862.57/300,082.12
  6. Step 6: Final answer
    x = 238,536.60

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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.