Finding the Fourth Proportional to 1,189,867,201.92, 1,640,286,150.84 and 831,522,415.68
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Solution
The fourth proportional to 1,189,867,201.92, 1,640,286,150.84 and 831,522,415.68 is: 1,146,291,536.02
Step by Step Solution
- Step 1: Write the proportion equation
1,189,867,201.92 : 1,640,286,150.84 = 831,522,415.68 : x - Step 2: Convert to fraction form
1,189,867,201.92/1,640,286,150.84 = 831,522,415.68/x - Step 3: Cross multiply
1,189,867,201.92x = 1,640,286,150.84 × 831,522,415.68 - Step 4: Simplify right side
1,189,867,201.92x = 1,363,934,702,552,925,440 - Step 5: Solve for x
x = 1,363,934,702,552,925,440/1,189,867,201.92 - Step 6: Final answer
x = 1,146,291,536.02
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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.