Finding the Fourth Proportional to 491,450,506.19, 678,197,221.51 and 268,432,128.70
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Solution
The fourth proportional to 491,450,506.19, 678,197,221.51 and 268,432,128.70 is: 370,433,892.23
Step by Step Solution
- Step 1: Write the proportion equation
491,450,506.19 : 678,197,221.51 = 268,432,128.70 : x - Step 2: Convert to fraction form
491,450,506.19/678,197,221.51 = 268,432,128.70/x - Step 3: Cross multiply
491,450,506.19x = 678,197,221.51 × 268,432,128.70 - Step 4: Simplify right side
491,450,506.19x = 182,049,923,848,354,720 - Step 5: Solve for x
x = 182,049,923,848,354,720/491,450,506.19 - Step 6: Final answer
x = 370,433,892.23
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.