Finding the Fourth Proportional to 1,149,889,968.40, 1,724,834,952.60 and 422,728,214.80
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Solution
The fourth proportional to 1,149,889,968.40, 1,724,834,952.60 and 422,728,214.80 is: 634,092,322.20
Step by Step Solution
- Step 1: Write the proportion equation
1,149,889,968.40 : 1,724,834,952.60 = 422,728,214.80 : x - Step 2: Convert to fraction form
1,149,889,968.40/1,724,834,952.60 = 422,728,214.80/x - Step 3: Cross multiply
1,149,889,968.40x = 1,724,834,952.60 × 422,728,214.80 - Step 4: Simplify right side
1,149,889,968.40x = 729,136,400,337,240,576 - Step 5: Solve for x
x = 729,136,400,337,240,576/1,149,889,968.40 - Step 6: Final answer
x = 634,092,322.20
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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.