Finding the Fourth Proportional to 256,611,487.80, 384,917,231.70 and 214,096,207.80
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Solution
The fourth proportional to 256,611,487.80, 384,917,231.70 and 214,096,207.80 is: 321,144,311.70
Step by Step Solution
- Step 1: Write the proportion equation
256,611,487.80 : 384,917,231.70 = 214,096,207.80 : x - Step 2: Convert to fraction form
256,611,487.80/384,917,231.70 = 214,096,207.80/x - Step 3: Cross multiply
256,611,487.80x = 384,917,231.70 × 214,096,207.80 - Step 4: Simplify right side
256,611,487.80x = 82,409,319,623,843,952 - Step 5: Solve for x
x = 82,409,319,623,843,952/256,611,487.80 - Step 6: Final answer
x = 321,144,311.70
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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.