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Finding the Fourth Proportional to 300,530.50, 414,745.05 and 166,394.50

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Solution

The fourth proportional to 300,530.50, 414,745.05 and 166,394.50 is: 229,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,530.50 : 414,745.05 = 166,394.50 : x
  2. Step 2: Convert to fraction form
    300,530.50/414,745.05 = 166,394.50/x
  3. Step 3: Cross multiply
    300,530.50x = 414,745.05 × 166,394.50
  4. Step 4: Simplify right side
    300,530.50x = 69,011,295,222.23
  5. Step 5: Solve for x
    x = 69,011,295,222.23/300,530.50
  6. Step 6: Final answer
    x = 229,631.59

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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.