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Finding the Fourth Proportional to 311,930.10, 465,638.72 and 274,096.20

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Solution

The fourth proportional to 311,930.10, 465,638.72 and 274,096.20 is: 409,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930.10 : 465,638.72 = 274,096.20 : x
  2. Step 2: Convert to fraction form
    311,930.10/465,638.72 = 274,096.20/x
  3. Step 3: Cross multiply
    311,930.10x = 465,638.72 × 274,096.20
  4. Step 4: Simplify right side
    311,930.10x = 127,629,802,354.38
  5. Step 5: Solve for x
    x = 127,629,802,354.38/311,930.10
  6. Step 6: Final answer
    x = 409,161.55

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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.