Finding the Fourth Proportional to 306,477,862.80, 422,948,434.08 and 167,257,575.84
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Solution
The fourth proportional to 306,477,862.80, 422,948,434.08 and 167,257,575.84 is: 230,820,357.28
Step by Step Solution
- Step 1: Write the proportion equation
306,477,862.80 : 422,948,434.08 = 167,257,575.84 : x - Step 2: Convert to fraction form
306,477,862.80/422,948,434.08 = 167,257,575.84/x - Step 3: Cross multiply
306,477,862.80x = 422,948,434.08 × 167,257,575.84 - Step 4: Simplify right side
306,477,862.80x = 70,741,329,789,544,840 - Step 5: Solve for x
x = 70,741,329,789,544,840/306,477,862.80 - Step 6: Final answer
x = 230,820,357.28
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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.