Finding the Fourth Proportional to 1,609,395,143.56, 2,414,207,636.18 and 428,969,439.49
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Solution
The fourth proportional to 1,609,395,143.56, 2,414,207,636.18 and 428,969,439.49 is: 643,484,790.32
Step by Step Solution
- Step 1: Write the proportion equation
1,609,395,143.56 : 2,414,207,636.18 = 428,969,439.49 : x - Step 2: Convert to fraction form
1,609,395,143.56/2,414,207,636.18 = 428,969,439.49/x - Step 3: Cross multiply
1,609,395,143.56x = 2,414,207,636.18 × 428,969,439.49 - Step 4: Simplify right side
1,609,395,143.56x = 1,035,621,296,499,649,280 - Step 5: Solve for x
x = 1,035,621,296,499,649,280/1,609,395,143.56 - Step 6: Final answer
x = 643,484,790.32
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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.