Finding the Fourth Proportional to 306,477,863.80, 422,948,435.46 and 167,257,576.84
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Solution
The fourth proportional to 306,477,863.80, 422,948,435.46 and 167,257,576.84 is: 230,820,358.66
Step by Step Solution
- Step 1: Write the proportion equation
306,477,863.80 : 422,948,435.46 = 167,257,576.84 : x - Step 2: Convert to fraction form
306,477,863.80/422,948,435.46 = 167,257,576.84/x - Step 3: Cross multiply
306,477,863.80x = 422,948,435.46 × 167,257,576.84 - Step 4: Simplify right side
306,477,863.80x = 70,741,330,443,308,728 - Step 5: Solve for x
x = 70,741,330,443,308,728/306,477,863.80 - Step 6: Final answer
x = 230,820,358.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.