Finding the Fourth Proportional to 1,161,128,930.83, 1,602,306,235.35 and 678,365,628.03
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Solution
The fourth proportional to 1,161,128,930.83, 1,602,306,235.35 and 678,365,628.03 is: 936,114,368.33
Step by Step Solution
- Step 1: Write the proportion equation
1,161,128,930.83 : 1,602,306,235.35 = 678,365,628.03 : x - Step 2: Convert to fraction form
1,161,128,930.83/1,602,306,235.35 = 678,365,628.03/x - Step 3: Cross multiply
1,161,128,930.83x = 1,602,306,235.35 × 678,365,628.03 - Step 4: Simplify right side
1,161,128,930.83x = 1,086,949,475,631,576,064 - Step 5: Solve for x
x = 1,086,949,475,631,576,064/1,161,128,930.83 - Step 6: Final answer
x = 936,114,368.33
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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.