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Finding the Fourth Proportional to 311,852.02, 468,566.31 and 299,240.73

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Solution

The fourth proportional to 311,852.02, 468,566.31 and 299,240.73 is: 449,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,852.02 : 468,566.31 = 299,240.73 : x
  2. Step 2: Convert to fraction form
    311,852.02/468,566.31 = 299,240.73/x
  3. Step 3: Cross multiply
    311,852.02x = 468,566.31 × 299,240.73
  4. Step 4: Simplify right side
    311,852.02x = 140,214,122,314.98
  5. Step 5: Solve for x
    x = 140,214,122,314.98/311,852.02
  6. Step 6: Final answer
    x = 449,617.49

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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.