Finding the Fourth Proportional to 1,535,052,379.22, 2,118,372,286.68 and 830,204,360.62
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Solution
The fourth proportional to 1,535,052,379.22, 2,118,372,286.68 and 830,204,360.62 is: 1,145,682,019.47
Step by Step Solution
- Step 1: Write the proportion equation
1,535,052,379.22 : 2,118,372,286.68 = 830,204,360.62 : x - Step 2: Convert to fraction form
1,535,052,379.22/2,118,372,286.68 = 830,204,360.62/x - Step 3: Cross multiply
1,535,052,379.22x = 2,118,372,286.68 × 830,204,360.62 - Step 4: Simplify right side
1,535,052,379.22x = 1,758,681,909,818,296,832 - Step 5: Solve for x
x = 1,758,681,909,818,296,832/1,535,052,379.22 - Step 6: Final answer
x = 1,145,682,019.47
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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.