Finding the Fourth Proportional to 409,915,187.20, 614,378,772.36 and 188,280,686.68
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Solution
The fourth proportional to 409,915,187.20, 614,378,772.36 and 188,280,686.68 is: 282,194,123.94
Step by Step Solution
- Step 1: Write the proportion equation
409,915,187.20 : 614,378,772.36 = 188,280,686.68 : x - Step 2: Convert to fraction form
409,915,187.20/614,378,772.36 = 188,280,686.68/x - Step 3: Cross multiply
409,915,187.20x = 614,378,772.36 × 188,280,686.68 - Step 4: Simplify right side
409,915,187.20x = 115,675,657,141,556,208 - Step 5: Solve for x
x = 115,675,657,141,556,208/409,915,187.20 - Step 6: Final answer
x = 282,194,123.94
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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.