Finding the Fourth Proportional to 286,724,742,269.60, 395,680,183,061.28 and 158,266,215,129.08
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Solution
The fourth proportional to 286,724,742,269.60, 395,680,183,061.28 and 158,266,215,129.08 is: 218,407,398,255.88
Step by Step Solution
- Step 1: Write the proportion equation
286,724,742,269.60 : 395,680,183,061.28 = 158,266,215,129.08 : x - Step 2: Convert to fraction form
286,724,742,269.60/395,680,183,061.28 = 158,266,215,129.08/x - Step 3: Cross multiply
286,724,742,269.60x = 395,680,183,061.28 × 158,266,215,129.08 - Step 4: Simplify right side
286,724,742,269.60x = 62,622,804,974,690,296,135,680 - Step 5: Solve for x
x = 62,622,804,974,690,296,135,680/286,724,742,269.60 - Step 6: Final answer
x = 218,407,398,255.88
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.