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Finding the Fourth Proportional to 311,379,458.40, 467,069,187.60 and 196,717,672.80

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Solution

The fourth proportional to 311,379,458.40, 467,069,187.60 and 196,717,672.80 is: 295,076,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,379,458.40 : 467,069,187.60 = 196,717,672.80 : x
  2. Step 2: Convert to fraction form
    311,379,458.40/467,069,187.60 = 196,717,672.80/x
  3. Step 3: Cross multiply
    311,379,458.40x = 467,069,187.60 × 196,717,672.80
  4. Step 4: Simplify right side
    311,379,458.40x = 91,880,763,621,258,624
  5. Step 5: Solve for x
    x = 91,880,763,621,258,624/311,379,458.40
  6. Step 6: Final answer
    x = 295,076,509.20

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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.