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Finding the Fourth Proportional to 312,014.10, 467,597.12 and 131,949.88

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Solution

The fourth proportional to 312,014.10, 467,597.12 and 131,949.88 is: 197,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,014.10 : 467,597.12 = 131,949.88 : x
  2. Step 2: Convert to fraction form
    312,014.10/467,597.12 = 131,949.88/x
  3. Step 3: Cross multiply
    312,014.10x = 467,597.12 × 131,949.88
  4. Step 4: Simplify right side
    312,014.10x = 61,699,383,872.35
  5. Step 5: Solve for x
    x = 61,699,383,872.35/312,014.10
  6. Step 6: Final answer
    x = 197,745.50

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1.5x scale

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.