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Finding the Fourth Proportional to 311,442.30, 467,163.45 and 305,537.40

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Solution

The fourth proportional to 311,442.30, 467,163.45 and 305,537.40 is: 458,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,442.30 : 467,163.45 = 305,537.40 : x
  2. Step 2: Convert to fraction form
    311,442.30/467,163.45 = 305,537.40/x
  3. Step 3: Cross multiply
    311,442.30x = 467,163.45 × 305,537.40
  4. Step 4: Simplify right side
    311,442.30x = 142,735,905,888.03
  5. Step 5: Solve for x
    x = 142,735,905,888.03/311,442.30
  6. Step 6: Final answer
    x = 458,306.10

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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.