Finding the Fourth Proportional to 310,520,147,240.70, 465,780,220,861.05 and 204,521,901,450.30
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Solution
The fourth proportional to 310,520,147,240.70, 465,780,220,861.05 and 204,521,901,450.30 is: 306,782,852,175.45
Step by Step Solution
- Step 1: Write the proportion equation
310,520,147,240.70 : 465,780,220,861.05 = 204,521,901,450.30 : x - Step 2: Convert to fraction form
310,520,147,240.70/465,780,220,861.05 = 204,521,901,450.30/x - Step 3: Cross multiply
310,520,147,240.70x = 465,780,220,861.05 × 204,521,901,450.30 - Step 4: Simplify right side
310,520,147,240.70x = 95,262,256,428,442,630,225,920 - Step 5: Solve for x
x = 95,262,256,428,442,630,225,920/310,520,147,240.70 - Step 6: Final answer
x = 306,782,852,175.45
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Double scale
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Similar ratio
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1.5x scale
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.