Finding the Fourth Proportional to 1,034,120,247.09, 1,427,526,281.40 and 695,225,269.47
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Solution
The fourth proportional to 1,034,120,247.09, 1,427,526,281.40 and 695,225,269.47 is: 959,706,906.87
Step by Step Solution
- Step 1: Write the proportion equation
1,034,120,247.09 : 1,427,526,281.40 = 695,225,269.47 : x - Step 2: Convert to fraction form
1,034,120,247.09/1,427,526,281.40 = 695,225,269.47/x - Step 3: Cross multiply
1,034,120,247.09x = 1,427,526,281.40 × 695,225,269.47 - Step 4: Simplify right side
1,034,120,247.09x = 992,452,343,661,822,208 - Step 5: Solve for x
x = 992,452,343,661,822,208/1,034,120,247.09 - Step 6: Final answer
x = 959,706,906.87
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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.