Finding the Fourth Proportional to 1,136,192,943.20, 1,704,289,414.80 and 409,087,176.80
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Solution
The fourth proportional to 1,136,192,943.20, 1,704,289,414.80 and 409,087,176.80 is: 613,630,765.20
Step by Step Solution
- Step 1: Write the proportion equation
1,136,192,943.20 : 1,704,289,414.80 = 409,087,176.80 : x - Step 2: Convert to fraction form
1,136,192,943.20/1,704,289,414.80 = 409,087,176.80/x - Step 3: Cross multiply
1,136,192,943.20x = 1,704,289,414.80 × 409,087,176.80 - Step 4: Simplify right side
1,136,192,943.20x = 697,202,945,150,656,128 - Step 5: Solve for x
x = 697,202,945,150,656,128/1,136,192,943.20 - Step 6: Final answer
x = 613,630,765.20
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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.