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Finding the Fourth Proportional to 300,442.75, 414,611 and 166,306.75

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Solution

The fourth proportional to 300,442.75, 414,611 and 166,306.75 is: 229,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,442.75 : 414,611 = 166,306.75 : x
  2. Step 2: Convert to fraction form
    300,442.75/414,611 = 166,306.75/x
  3. Step 3: Cross multiply
    300,442.75x = 414,611 × 166,306.75
  4. Step 4: Simplify right side
    300,442.75x = 68,952,607,924.25
  5. Step 5: Solve for x
    x = 68,952,607,924.25/300,442.75
  6. Step 6: Final answer
    x = 229,503.32

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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.