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Finding the Fourth Proportional to 311,870.56, 467,735.29 and 143,228.77

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Solution

The fourth proportional to 311,870.56, 467,735.29 and 143,228.77 is: 214,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,870.56 : 467,735.29 = 143,228.77 : x
  2. Step 2: Convert to fraction form
    311,870.56/467,735.29 = 143,228.77/x
  3. Step 3: Cross multiply
    311,870.56x = 467,735.29 × 143,228.77
  4. Step 4: Simplify right side
    311,870.56x = 66,993,150,272.29
  5. Step 5: Solve for x
    x = 66,993,150,272.29/311,870.56
  6. Step 6: Final answer
    x = 214,810.75

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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.