Finding the Fourth Proportional to 286,724,742,268.60, 395,680,183,059.90 and 158,266,215,128.08
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Solution
The fourth proportional to 286,724,742,268.60, 395,680,183,059.90 and 158,266,215,128.08 is: 218,407,398,254.50
Step by Step Solution
- Step 1: Write the proportion equation
286,724,742,268.60 : 395,680,183,059.90 = 158,266,215,128.08 : x - Step 2: Convert to fraction form
286,724,742,268.60/395,680,183,059.90 = 158,266,215,128.08/x - Step 3: Cross multiply
286,724,742,268.60x = 395,680,183,059.90 × 158,266,215,128.08 - Step 4: Simplify right side
286,724,742,268.60x = 62,622,804,974,076,208,087,040 - Step 5: Solve for x
x = 62,622,804,974,076,208,087,040/286,724,742,268.60 - Step 6: Final answer
x = 218,407,398,254.50
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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.