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Finding the Fourth Proportional to 311,728.40, 467,447.26 and 161,928.46

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Solution

The fourth proportional to 311,728.40, 467,447.26 and 161,928.46 is: 242,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,728.40 : 467,447.26 = 161,928.46 : x
  2. Step 2: Convert to fraction form
    311,728.40/467,447.26 = 161,928.46/x
  3. Step 3: Cross multiply
    311,728.40x = 467,447.26 × 161,928.46
  4. Step 4: Simplify right side
    311,728.40x = 75,693,014,943.02
  5. Step 5: Solve for x
    x = 75,693,014,943.02/311,728.40
  6. Step 6: Final answer
    x = 242,817.19

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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.