Finding the Fourth Proportional to 305,297.40, 457,946.10 and 271,471.80
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Solution
The fourth proportional to 305,297.40, 457,946.10 and 271,471.80 is: 407,207.70
Step by Step Solution
- Step 1: Write the proportion equation
305,297.40 : 457,946.10 = 271,471.80 : x - Step 2: Convert to fraction form
305,297.40/457,946.10 = 271,471.80/x - Step 3: Cross multiply
305,297.40x = 457,946.10 × 271,471.80 - Step 4: Simplify right side
305,297.40x = 124,319,452,069.98 - Step 5: Solve for x
x = 124,319,452,069.98/305,297.40 - Step 6: Final answer
x = 407,207.70
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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.