Finding the Fourth Proportional to 410,902,140.65, 616,344,575.70 and 100,011,491.09
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Solution
The fourth proportional to 410,902,140.65, 616,344,575.70 and 100,011,491.09 is: 150,015,134.85
Step by Step Solution
- Step 1: Write the proportion equation
410,902,140.65 : 616,344,575.70 = 100,011,491.09 : x - Step 2: Convert to fraction form
410,902,140.65/616,344,575.70 = 100,011,491.09/x - Step 3: Cross multiply
410,902,140.65x = 616,344,575.70 × 100,011,491.09 - Step 4: Simplify right side
410,902,140.65x = 61,641,540,040,990,384 - Step 5: Solve for x
x = 61,641,540,040,990,384/410,902,140.65 - Step 6: Final answer
x = 150,015,134.85
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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.