Finding the Fourth Proportional to 787,354,226.20, 1,086,527,780.94 and 434,922,631.84
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Solution
The fourth proportional to 787,354,226.20, 1,086,527,780.94 and 434,922,631.84 is: 600,181,603.56
Step by Step Solution
- Step 1: Write the proportion equation
787,354,226.20 : 1,086,527,780.94 = 434,922,631.84 : x - Step 2: Convert to fraction form
787,354,226.20/1,086,527,780.94 = 434,922,631.84/x - Step 3: Cross multiply
787,354,226.20x = 1,086,527,780.94 × 434,922,631.84 - Step 4: Simplify right side
787,354,226.20x = 472,555,522,053,699,776 - Step 5: Solve for x
x = 472,555,522,053,699,776/787,354,226.20 - Step 6: Final answer
x = 600,181,603.56
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1.5x scale
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.