Finding the Fourth Proportional to 778,045,446.14, 1,073,699,505.35 and 420,813,621.70
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Solution
The fourth proportional to 778,045,446.14, 1,073,699,505.35 and 420,813,621.70 is: 580,721,061.61
Step by Step Solution
- Step 1: Write the proportion equation
778,045,446.14 : 1,073,699,505.35 = 420,813,621.70 : x - Step 2: Convert to fraction form
778,045,446.14/1,073,699,505.35 = 420,813,621.70/x - Step 3: Cross multiply
778,045,446.14x = 1,073,699,505.35 × 420,813,621.70 - Step 4: Simplify right side
778,045,446.14x = 451,827,377,460,600,704 - Step 5: Solve for x
x = 451,827,377,460,600,704/778,045,446.14 - Step 6: Final answer
x = 580,721,061.61
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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.