Finding the Fourth Proportional to 306,465,828.80, 422,931,775.82 and 167,245,558.44
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Solution
The fourth proportional to 306,465,828.80, 422,931,775.82 and 167,245,558.44 is: 230,803,745.09
Step by Step Solution
- Step 1: Write the proportion equation
306,465,828.80 : 422,931,775.82 = 167,245,558.44 : x - Step 2: Convert to fraction form
306,465,828.80/422,931,775.82 = 167,245,558.44/x - Step 3: Cross multiply
306,465,828.80x = 422,931,775.82 × 167,245,558.44 - Step 4: Simplify right side
306,465,828.80x = 70,733,461,029,036,784 - Step 5: Solve for x
x = 70,733,461,029,036,784/306,465,828.80 - Step 6: Final answer
x = 230,803,745.09
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1.5x scale
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.