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Finding the Fourth Proportional to 311,391.42, 465,380.90 and 227,328.62

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Solution

The fourth proportional to 311,391.42, 465,380.90 and 227,328.62 is: 339,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,391.42 : 465,380.90 = 227,328.62 : x
  2. Step 2: Convert to fraction form
    311,391.42/465,380.90 = 227,328.62/x
  3. Step 3: Cross multiply
    311,391.42x = 465,380.90 × 227,328.62
  4. Step 4: Simplify right side
    311,391.42x = 105,794,394,307.81
  5. Step 5: Solve for x
    x = 105,794,394,307.81/311,391.42
  6. Step 6: Final answer
    x = 339,747.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.