Finding the Fourth Proportional to 1,020,201,304.44, 1,408,312,213.54 and 685,867,728.12
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Solution
The fourth proportional to 1,020,201,304.44, 1,408,312,213.54 and 685,867,728.12 is: 946,789,515.15
Step by Step Solution
- Step 1: Write the proportion equation
1,020,201,304.44 : 1,408,312,213.54 = 685,867,728.12 : x - Step 2: Convert to fraction form
1,020,201,304.44/1,408,312,213.54 = 685,867,728.12/x - Step 3: Cross multiply
1,020,201,304.44x = 1,408,312,213.54 × 685,867,728.12 - Step 4: Simplify right side
1,020,201,304.44x = 965,915,898,384,328,064 - Step 5: Solve for x
x = 965,915,898,384,328,064/1,020,201,304.44 - Step 6: Final answer
x = 946,789,515.15
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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.