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Finding the Fourth Proportional to 305,728.56, 421,891.30 and 169,771.14

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Solution

The fourth proportional to 305,728.56, 421,891.30 and 169,771.14 is: 234,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,728.56 : 421,891.30 = 169,771.14 : x
  2. Step 2: Convert to fraction form
    305,728.56/421,891.30 = 169,771.14/x
  3. Step 3: Cross multiply
    305,728.56x = 421,891.30 × 169,771.14
  4. Step 4: Simplify right side
    305,728.56x = 71,624,967,169.30
  5. Step 5: Solve for x
    x = 71,624,967,169.30/305,728.56
  6. Step 6: Final answer
    x = 234,276.34

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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.