Finding the Fourth Proportional to 1,700,679,451.80, 2,551,019,206.74 and 408,214,939.80
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Solution
The fourth proportional to 1,700,679,451.80, 2,551,019,206.74 and 408,214,939.80 is: 612,322,416.67
Step by Step Solution
- Step 1: Write the proportion equation
1,700,679,451.80 : 2,551,019,206.74 = 408,214,939.80 : x - Step 2: Convert to fraction form
1,700,679,451.80/2,551,019,206.74 = 408,214,939.80/x - Step 3: Cross multiply
1,700,679,451.80x = 2,551,019,206.74 × 408,214,939.80 - Step 4: Simplify right side
1,700,679,451.80x = 1,041,364,151,908,012,800 - Step 5: Solve for x
x = 1,041,364,151,908,012,800/1,700,679,451.80 - Step 6: Final answer
x = 612,322,416.67
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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.