Finding the Fourth Proportional to 823,794,703.84, 1,136,178,905.11 and 541,826,613.15
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Solution
The fourth proportional to 823,794,703.84, 1,136,178,905.11 and 541,826,613.15 is: 747,288,086.73
Step by Step Solution
- Step 1: Write the proportion equation
823,794,703.84 : 1,136,178,905.11 = 541,826,613.15 : x - Step 2: Convert to fraction form
823,794,703.84/1,136,178,905.11 = 541,826,613.15/x - Step 3: Cross multiply
823,794,703.84x = 1,136,178,905.11 × 541,826,613.15 - Step 4: Simplify right side
823,794,703.84x = 615,611,968,085,656,960 - Step 5: Solve for x
x = 615,611,968,085,656,960/823,794,703.84 - Step 6: Final answer
x = 747,288,086.73
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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.