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Finding the Fourth Proportional to 311,711.10, 467,636.01 and 145,408.38

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Solution

The fourth proportional to 311,711.10, 467,636.01 and 145,408.38 is: 218,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,711.10 : 467,636.01 = 145,408.38 : x
  2. Step 2: Convert to fraction form
    311,711.10/467,636.01 = 145,408.38/x
  3. Step 3: Cross multiply
    311,711.10x = 467,636.01 × 145,408.38
  4. Step 4: Simplify right side
    311,711.10x = 67,998,194,643.76
  5. Step 5: Solve for x
    x = 67,998,194,643.76/311,711.10
  6. Step 6: Final answer
    x = 218,144.93

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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.