Finding the Fourth Proportional to 486,415,911.71, 729,317,337.63 and 412,665,460.31
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Solution
The fourth proportional to 486,415,911.71, 729,317,337.63 and 412,665,460.31 is: 618,738,136.64
Step by Step Solution
- Step 1: Write the proportion equation
486,415,911.71 : 729,317,337.63 = 412,665,460.31 : x - Step 2: Convert to fraction form
486,415,911.71/729,317,337.63 = 412,665,460.31/x - Step 3: Cross multiply
486,415,911.71x = 729,317,337.63 × 412,665,460.31 - Step 4: Simplify right side
486,415,911.71x = 300,964,074,845,147,648 - Step 5: Solve for x
x = 300,964,074,845,147,648/486,415,911.71 - Step 6: Final answer
x = 618,738,136.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.