Finding the Fourth Proportional to 1,540,893,494.28, 2,126,406,205.98 and 937,846,134.12
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Solution
The fourth proportional to 1,540,893,494.28, 2,126,406,205.98 and 937,846,134.12 is: 1,294,211,343.78
Step by Step Solution
- Step 1: Write the proportion equation
1,540,893,494.28 : 2,126,406,205.98 = 937,846,134.12 : x - Step 2: Convert to fraction form
1,540,893,494.28/2,126,406,205.98 = 937,846,134.12/x - Step 3: Cross multiply
1,540,893,494.28x = 2,126,406,205.98 × 937,846,134.12 - Step 4: Simplify right side
1,540,893,494.28x = 1,994,241,839,847,119,360 - Step 5: Solve for x
x = 1,994,241,839,847,119,360/1,540,893,494.28 - Step 6: Final answer
x = 1,294,211,343.78
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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.