Finding the Fourth Proportional to 202,021,396.44, 278,789,609.76 and 109,201,904.04
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Solution
The fourth proportional to 202,021,396.44, 278,789,609.76 and 109,201,904.04 is: 150,698,672.26
Step by Step Solution
- Step 1: Write the proportion equation
202,021,396.44 : 278,789,609.76 = 109,201,904.04 : x - Step 2: Convert to fraction form
202,021,396.44/278,789,609.76 = 109,201,904.04/x - Step 3: Cross multiply
202,021,396.44x = 278,789,609.76 × 109,201,904.04 - Step 4: Simplify right side
202,021,396.44x = 30,444,356,212,360,568 - Step 5: Solve for x
x = 30,444,356,212,360,568/202,021,396.44 - Step 6: Final answer
x = 150,698,672.26
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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.