Finding the Fourth Proportional to 1,530,512,420.92, 2,112,101,961.36 and 861,457,078.22
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Solution
The fourth proportional to 1,530,512,420.92, 2,112,101,961.36 and 861,457,078.22 is: 1,188,807,852.63
Step by Step Solution
- Step 1: Write the proportion equation
1,530,512,420.92 : 2,112,101,961.36 = 861,457,078.22 : x - Step 2: Convert to fraction form
1,530,512,420.92/2,112,101,961.36 = 861,457,078.22/x - Step 3: Cross multiply
1,530,512,420.92x = 2,112,101,961.36 × 861,457,078.22 - Step 4: Simplify right side
1,530,512,420.92x = 1,819,485,184,533,995,008 - Step 5: Solve for x
x = 1,819,485,184,533,995,008/1,530,512,420.92 - Step 6: Final answer
x = 1,188,807,852.63
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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.