Finding the Fourth Proportional to 189,175,511.20, 283,763,266.80 and 184,923,983.20
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Solution
The fourth proportional to 189,175,511.20, 283,763,266.80 and 184,923,983.20 is: 277,385,974.80
Step by Step Solution
- Step 1: Write the proportion equation
189,175,511.20 : 283,763,266.80 = 184,923,983.20 : x - Step 2: Convert to fraction form
189,175,511.20/283,763,266.80 = 184,923,983.20/x - Step 3: Cross multiply
189,175,511.20x = 283,763,266.80 × 184,923,983.20 - Step 4: Simplify right side
189,175,511.20x = 52,474,633,582,500,320 - Step 5: Solve for x
x = 52,474,633,582,500,320/189,175,511.20 - Step 6: Final answer
x = 277,385,974.80
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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.