Home / 300,120-414,165.60-166,004.16

Finding the Fourth Proportional to 300,120, 414,165.60 and 166,004.16

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Solution

The fourth proportional to 300,120, 414,165.60 and 166,004.16 is: 229,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,120 : 414,165.60 = 166,004.16 : x
  2. Step 2: Convert to fraction form
    300,120/414,165.60 = 166,004.16/x
  3. Step 3: Cross multiply
    300,120x = 414,165.60 × 166,004.16
  4. Step 4: Simplify right side
    300,120x = 68,753,212,528.90
  5. Step 5: Solve for x
    x = 68,753,212,528.90/300,120
  6. Step 6: Final answer
    x = 229,085.74

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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.