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Finding the Fourth Proportional to 300,715, 414,986.70 and 166,579

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Solution

The fourth proportional to 300,715, 414,986.70 and 166,579 is: 229,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,715 : 414,986.70 = 166,579 : x
  2. Step 2: Convert to fraction form
    300,715/414,986.70 = 166,579/x
  3. Step 3: Cross multiply
    300,715x = 414,986.70 × 166,579
  4. Step 4: Simplify right side
    300,715x = 69,128,069,499.30
  5. Step 5: Solve for x
    x = 69,128,069,499.30/300,715
  6. Step 6: Final answer
    x = 229,879.02

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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.