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Finding the Fourth Proportional to 311,777.51, 468,415.31 and 199,675.53

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Solution

The fourth proportional to 311,777.51, 468,415.31 and 199,675.53 is: 299,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,777.51 : 468,415.31 = 199,675.53 : x
  2. Step 2: Convert to fraction form
    311,777.51/468,415.31 = 199,675.53/x
  3. Step 3: Cross multiply
    311,777.51x = 468,415.31 × 199,675.53
  4. Step 4: Simplify right side
    311,777.51x = 93,531,074,285.99
  5. Step 5: Solve for x
    x = 93,531,074,285.99/311,777.51
  6. Step 6: Final answer
    x = 299,993.02

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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.