Finding the Fourth Proportional to 497,270,319.10, 745,778,246.49 and 147,434,583.16
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Solution
The fourth proportional to 497,270,319.10, 745,778,246.49 and 147,434,583.16 is: 221,114,151.96
Step by Step Solution
- Step 1: Write the proportion equation
497,270,319.10 : 745,778,246.49 = 147,434,583.16 : x - Step 2: Convert to fraction form
497,270,319.10/745,778,246.49 = 147,434,583.16/x - Step 3: Cross multiply
497,270,319.10x = 745,778,246.49 × 147,434,583.16 - Step 4: Simplify right side
497,270,319.10x = 109,953,504,901,048,880 - Step 5: Solve for x
x = 109,953,504,901,048,880/497,270,319.10 - Step 6: Final answer
x = 221,114,151.96
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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.