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Finding the Fourth Proportional to 300,350, 414,483 and 166,222.64

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Solution

The fourth proportional to 300,350, 414,483 and 166,222.64 is: 229,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,350 : 414,483 = 166,222.64 : x
  2. Step 2: Convert to fraction form
    300,350/414,483 = 166,222.64/x
  3. Step 3: Cross multiply
    300,350x = 414,483 × 166,222.64
  4. Step 4: Simplify right side
    300,350x = 68,896,458,495.12
  5. Step 5: Solve for x
    x = 68,896,458,495.12/300,350
  6. Step 6: Final answer
    x = 229,387.24

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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.