Finding the Fourth Proportional to 414,378,471.09, 571,822,209.27 and 235,745,539.95
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Solution
The fourth proportional to 414,378,471.09, 571,822,209.27 and 235,745,539.95 is: 325,317,420.87
Step by Step Solution
- Step 1: Write the proportion equation
414,378,471.09 : 571,822,209.27 = 235,745,539.95 : x - Step 2: Convert to fraction form
414,378,471.09/571,822,209.27 = 235,745,539.95/x - Step 3: Cross multiply
414,378,471.09x = 571,822,209.27 × 235,745,539.95 - Step 4: Simplify right side
414,378,471.09x = 134,804,535,479,758,032 - Step 5: Solve for x
x = 134,804,535,479,758,032/414,378,471.09 - Step 6: Final answer
x = 325,317,420.87
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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.