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Finding the Fourth Proportional to 281,728.53, 422,592.80 and 170,687.25

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Solution

The fourth proportional to 281,728.53, 422,592.80 and 170,687.25 is: 256,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,728.53 : 422,592.80 = 170,687.25 : x
  2. Step 2: Convert to fraction form
    281,728.53/422,592.80 = 170,687.25/x
  3. Step 3: Cross multiply
    281,728.53x = 422,592.80 × 170,687.25
  4. Step 4: Simplify right side
    281,728.53x = 72,131,202,048.36
  5. Step 5: Solve for x
    x = 72,131,202,048.36/281,728.53
  6. Step 6: Final answer
    x = 256,030.88

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1.5x scale

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.