Finding the Fourth Proportional to 310,520,147,252.20, 465,780,220,878.30 and 204,521,901,461.80
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Solution
The fourth proportional to 310,520,147,252.20, 465,780,220,878.30 and 204,521,901,461.80 is: 306,782,852,192.70
Step by Step Solution
- Step 1: Write the proportion equation
310,520,147,252.20 : 465,780,220,878.30 = 204,521,901,461.80 : x - Step 2: Convert to fraction form
310,520,147,252.20/465,780,220,878.30 = 204,521,901,461.80/x - Step 3: Cross multiply
310,520,147,252.20x = 465,780,220,878.30 × 204,521,901,461.80 - Step 4: Simplify right side
310,520,147,252.20x = 95,262,256,437,327,105,622,016 - Step 5: Solve for x
x = 95,262,256,437,327,105,622,016/310,520,147,252.20 - Step 6: Final answer
x = 306,782,852,192.70
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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.