Finding the Fourth Proportional to 731,670,584.20, 1,097,721,470.76 and 294,746,431.66
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Solution
The fourth proportional to 731,670,584.20, 1,097,721,470.76 and 294,746,431.66 is: 442,206,497.64
Step by Step Solution
- Step 1: Write the proportion equation
731,670,584.20 : 1,097,721,470.76 = 294,746,431.66 : x - Step 2: Convert to fraction form
731,670,584.20/1,097,721,470.76 = 294,746,431.66/x - Step 3: Cross multiply
731,670,584.20x = 1,097,721,470.76 × 294,746,431.66 - Step 4: Simplify right side
731,670,584.20x = 323,549,486,467,857,728 - Step 5: Solve for x
x = 323,549,486,467,857,728/731,670,584.20 - Step 6: Final answer
x = 442,206,497.64
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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.