Finding the Fourth Proportional to 1,539,373,742.19, 2,124,253,947.78 and 870,278,783.13
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Solution
The fourth proportional to 1,539,373,742.19, 2,124,253,947.78 and 870,278,783.13 is: 1,200,938,466.12
Step by Step Solution
- Step 1: Write the proportion equation
1,539,373,742.19 : 2,124,253,947.78 = 870,278,783.13 : x - Step 2: Convert to fraction form
1,539,373,742.19/2,124,253,947.78 = 870,278,783.13/x - Step 3: Cross multiply
1,539,373,742.19x = 2,124,253,947.78 × 870,278,783.13 - Step 4: Simplify right side
1,539,373,742.19x = 1,848,693,140,733,076,992 - Step 5: Solve for x
x = 1,848,693,140,733,076,992/1,539,373,742.19 - Step 6: Final answer
x = 1,200,938,466.12
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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.