Finding the Fourth Proportional to 765,412,748.42, 1,147,186,377.03 and 396,744,450.26
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Solution
The fourth proportional to 765,412,748.42, 1,147,186,377.03 and 396,744,450.26 is: 594,633,195.54
Step by Step Solution
- Step 1: Write the proportion equation
765,412,748.42 : 1,147,186,377.03 = 396,744,450.26 : x - Step 2: Convert to fraction form
765,412,748.42/1,147,186,377.03 = 396,744,450.26/x - Step 3: Cross multiply
765,412,748.42x = 1,147,186,377.03 × 396,744,450.26 - Step 4: Simplify right side
765,412,748.42x = 455,139,828,500,528,448 - Step 5: Solve for x
x = 455,139,828,500,528,448/765,412,748.42 - Step 6: Final answer
x = 594,633,195.54
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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.