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Finding the Fourth Proportional to 446,643.40, 669,734.70 and 166,016.20

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Solution

The fourth proportional to 446,643.40, 669,734.70 and 166,016.20 is: 248,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,643.40 : 669,734.70 = 166,016.20 : x
  2. Step 2: Convert to fraction form
    446,643.40/669,734.70 = 166,016.20/x
  3. Step 3: Cross multiply
    446,643.40x = 669,734.70 × 166,016.20
  4. Step 4: Simplify right side
    446,643.40x = 111,186,809,902.14
  5. Step 5: Solve for x
    x = 111,186,809,902.14/446,643.40
  6. Step 6: Final answer
    x = 248,938.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.