Finding the Fourth Proportional to 512,431,321.44, 768,881,209.92 and 278,912,209.44
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Solution
The fourth proportional to 512,431,321.44, 768,881,209.92 and 278,912,209.44 is: 418,495,802.43
Step by Step Solution
- Step 1: Write the proportion equation
512,431,321.44 : 768,881,209.92 = 278,912,209.44 : x - Step 2: Convert to fraction form
512,431,321.44/768,881,209.92 = 278,912,209.44/x - Step 3: Cross multiply
512,431,321.44x = 768,881,209.92 × 278,912,209.44 - Step 4: Simplify right side
512,431,321.44x = 214,450,357,055,687,616 - Step 5: Solve for x
x = 214,450,357,055,687,616/512,431,321.44 - Step 6: Final answer
x = 418,495,802.43
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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.