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Finding the Fourth Proportional to 311,850, 467,804.16 and 101,431.44

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Solution

The fourth proportional to 311,850, 467,804.16 and 101,431.44 is: 152,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,850 : 467,804.16 = 101,431.44 : x
  2. Step 2: Convert to fraction form
    311,850/467,804.16 = 101,431.44/x
  3. Step 3: Cross multiply
    311,850x = 467,804.16 × 101,431.44
  4. Step 4: Simplify right side
    311,850x = 47,450,049,586.79
  5. Step 5: Solve for x
    x = 47,450,049,586.79/311,850
  6. Step 6: Final answer
    x = 152,156.64

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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.