Finding the Fourth Proportional to 1,010,460,704.91, 1,515,744,585.52 and 311,432,961.75
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Solution
The fourth proportional to 1,010,460,704.91, 1,515,744,585.52 and 311,432,961.75 is: 467,165,940.48
Step by Step Solution
- Step 1: Write the proportion equation
1,010,460,704.91 : 1,515,744,585.52 = 311,432,961.75 : x - Step 2: Convert to fraction form
1,010,460,704.91/1,515,744,585.52 = 311,432,961.75/x - Step 3: Cross multiply
1,010,460,704.91x = 1,515,744,585.52 × 311,432,961.75 - Step 4: Simplify right side
1,010,460,704.91x = 472,052,825,524,241,152 - Step 5: Solve for x
x = 472,052,825,524,241,152/1,010,460,704.91 - Step 6: Final answer
x = 467,165,940.48
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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.