Finding the Fourth Proportional to 780,168,300.57, 1,170,273,752.24 and 227,457,371.70
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Solution
The fourth proportional to 780,168,300.57, 1,170,273,752.24 and 227,457,371.70 is: 341,192,267.95
Step by Step Solution
- Step 1: Write the proportion equation
780,168,300.57 : 1,170,273,752.24 = 227,457,371.70 : x - Step 2: Convert to fraction form
780,168,300.57/1,170,273,752.24 = 227,457,371.70/x - Step 3: Cross multiply
780,168,300.57x = 1,170,273,752.24 × 227,457,371.70 - Step 4: Simplify right side
780,168,300.57x = 266,187,391,852,870,048 - Step 5: Solve for x
x = 266,187,391,852,870,048/780,168,300.57 - Step 6: Final answer
x = 341,192,267.95
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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.