Finding the Fourth Proportional to 1,686,157,378.73, 2,327,140,576.74 and 971,556,069.14
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Solution
The fourth proportional to 1,686,157,378.73, 2,327,140,576.74 and 971,556,069.14 is: 1,340,887,617.96
Step by Step Solution
- Step 1: Write the proportion equation
1,686,157,378.73 : 2,327,140,576.74 = 971,556,069.14 : x - Step 2: Convert to fraction form
1,686,157,378.73/2,327,140,576.74 = 971,556,069.14/x - Step 3: Cross multiply
1,686,157,378.73x = 2,327,140,576.74 × 971,556,069.14 - Step 4: Simplify right side
1,686,157,378.73x = 2,260,947,551,062,071,040 - Step 5: Solve for x
x = 2,260,947,551,062,071,040/1,686,157,378.73 - Step 6: Final answer
x = 1,340,887,617.96
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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.