Finding the Fourth Proportional to 409,450,622.40, 614,175,933.60 and 271,701,115.20
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Solution
The fourth proportional to 409,450,622.40, 614,175,933.60 and 271,701,115.20 is: 407,551,672.80
Step by Step Solution
- Step 1: Write the proportion equation
409,450,622.40 : 614,175,933.60 = 271,701,115.20 : x - Step 2: Convert to fraction form
409,450,622.40/614,175,933.60 = 271,701,115.20/x - Step 3: Cross multiply
409,450,622.40x = 614,175,933.60 × 271,701,115.20 - Step 4: Simplify right side
409,450,622.40x = 166,872,286,088,121,152 - Step 5: Solve for x
x = 166,872,286,088,121,152/409,450,622.40 - Step 6: Final answer
x = 407,551,672.80
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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.