Finding the Fourth Proportional to 1,014,868,213.70, 1,522,470,282.15 and 432,881,269.70
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Solution
The fourth proportional to 1,014,868,213.70, 1,522,470,282.15 and 432,881,269.70 is: 649,393,546.79
Step by Step Solution
- Step 1: Write the proportion equation
1,014,868,213.70 : 1,522,470,282.15 = 432,881,269.70 : x - Step 2: Convert to fraction form
1,014,868,213.70/1,522,470,282.15 = 432,881,269.70/x - Step 3: Cross multiply
1,014,868,213.70x = 1,522,470,282.15 × 432,881,269.70 - Step 4: Simplify right side
1,014,868,213.70x = 659,048,868,817,609,216 - Step 5: Solve for x
x = 659,048,868,817,609,216/1,014,868,213.70 - Step 6: Final answer
x = 649,393,546.79
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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.