Finding the Fourth Proportional to 1,457,876,221.96, 2,011,867,882.86 and 822,930,368.28
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Solution
The fourth proportional to 1,457,876,221.96, 2,011,867,882.86 and 822,930,368.28 is: 1,135,643,172.47
Step by Step Solution
- Step 1: Write the proportion equation
1,457,876,221.96 : 2,011,867,882.86 = 822,930,368.28 : x - Step 2: Convert to fraction form
1,457,876,221.96/2,011,867,882.86 = 822,930,368.28/x - Step 3: Cross multiply
1,457,876,221.96x = 2,011,867,882.86 × 822,930,368.28 - Step 4: Simplify right side
1,457,876,221.96x = 1,655,627,177,772,683,520 - Step 5: Solve for x
x = 1,655,627,177,772,683,520/1,457,876,221.96 - Step 6: Final answer
x = 1,135,643,172.47
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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.