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Finding the Fourth Proportional to 311,941.30, 468,021.30 and 112,268.20

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Solution

The fourth proportional to 311,941.30, 468,021.30 and 112,268.20 is: 168,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941.30 : 468,021.30 = 112,268.20 : x
  2. Step 2: Convert to fraction form
    311,941.30/468,021.30 = 112,268.20/x
  3. Step 3: Cross multiply
    311,941.30x = 468,021.30 × 112,268.20
  4. Step 4: Simplify right side
    311,941.30x = 52,543,908,912.66
  5. Step 5: Solve for x
    x = 52,543,908,912.66/311,941.30
  6. Step 6: Final answer
    x = 168,441.66

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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.