Finding the Fourth Proportional to 247,512,478,952.97, 370,889,778,742.26 and 166,538,256,313.05
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Solution
The fourth proportional to 247,512,478,952.97, 370,889,778,742.26 and 166,538,256,313.05 is: 249,552,415,689.74
Step by Step Solution
- Step 1: Write the proportion equation
247,512,478,952.97 : 370,889,778,742.26 = 166,538,256,313.05 : x - Step 2: Convert to fraction form
247,512,478,952.97/370,889,778,742.26 = 166,538,256,313.05/x - Step 3: Cross multiply
247,512,478,952.97x = 370,889,778,742.26 × 166,538,256,313.05 - Step 4: Simplify right side
247,512,478,952.97x = 61,767,337,036,068,899,782,656 - Step 5: Solve for x
x = 61,767,337,036,068,899,782,656/247,512,478,952.97 - Step 6: Final answer
x = 249,552,415,689.74
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1.5x scale
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.