Finding the Fourth Proportional to 247,512,478,959, 370,889,778,751.26 and 166,538,256,319.08
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Solution
The fourth proportional to 247,512,478,959, 370,889,778,751.26 and 166,538,256,319.08 is: 249,552,415,698.75
Step by Step Solution
- Step 1: Write the proportion equation
247,512,478,959 : 370,889,778,751.26 = 166,538,256,319.08 : x - Step 2: Convert to fraction form
247,512,478,959/370,889,778,751.26 = 166,538,256,319.08/x - Step 3: Cross multiply
247,512,478,959x = 370,889,778,751.26 × 166,538,256,319.08 - Step 4: Simplify right side
247,512,478,959x = 61,767,337,039,804,204,318,720 - Step 5: Solve for x
x = 61,767,337,039,804,204,318,720/247,512,478,959 - Step 6: Final answer
x = 249,552,415,698.75
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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.