Finding the Fourth Proportional to 1,580,160,244.16, 2,180,620,378.49 and 945,080,724.97
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Solution
The fourth proportional to 1,580,160,244.16, 2,180,620,378.49 and 945,080,724.97 is: 1,304,210,946.84
Step by Step Solution
- Step 1: Write the proportion equation
1,580,160,244.16 : 2,180,620,378.49 = 945,080,724.97 : x - Step 2: Convert to fraction form
1,580,160,244.16/2,180,620,378.49 = 945,080,724.97/x - Step 3: Cross multiply
1,580,160,244.16x = 2,180,620,378.49 × 945,080,724.97 - Step 4: Simplify right side
1,580,160,244.16x = 2,060,862,288,190,999,552 - Step 5: Solve for x
x = 2,060,862,288,190,999,552/1,580,160,244.16 - Step 6: Final answer
x = 1,304,210,946.84
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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.