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Finding the Fourth Proportional to 300,511.50, 414,719.58 and 166,375.50

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Solution

The fourth proportional to 300,511.50, 414,719.58 and 166,375.50 is: 229,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,511.50 : 414,719.58 = 166,375.50 : x
  2. Step 2: Convert to fraction form
    300,511.50/414,719.58 = 166,375.50/x
  3. Step 3: Cross multiply
    300,511.50x = 414,719.58 × 166,375.50
  4. Step 4: Simplify right side
    300,511.50x = 68,999,177,482.29
  5. Step 5: Solve for x
    x = 68,999,177,482.29/300,511.50
  6. Step 6: Final answer
    x = 229,605.78

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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.