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Finding the Fourth Proportional to 300,423.28, 414,585.26 and 164,469.87

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Solution

The fourth proportional to 300,423.28, 414,585.26 and 164,469.87 is: 226,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,423.28 : 414,585.26 = 164,469.87 : x
  2. Step 2: Convert to fraction form
    300,423.28/414,585.26 = 164,469.87/x
  3. Step 3: Cross multiply
    300,423.28x = 414,585.26 × 164,469.87
  4. Step 4: Simplify right side
    300,423.28x = 68,186,783,816.12
  5. Step 5: Solve for x
    x = 68,186,783,816.12/300,423.28
  6. Step 6: Final answer
    x = 226,969.04

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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.