Finding the Fourth Proportional to 809,168,819, 1,213,261,727.36 and 317,292,814.12
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Solution
The fourth proportional to 809,168,819, 1,213,261,727.36 and 317,292,814.12 is: 475,746,492.82
Step by Step Solution
- Step 1: Write the proportion equation
809,168,819 : 1,213,261,727.36 = 317,292,814.12 : x - Step 2: Convert to fraction form
809,168,819/1,213,261,727.36 = 317,292,814.12/x - Step 3: Cross multiply
809,168,819x = 1,213,261,727.36 × 317,292,814.12 - Step 4: Simplify right side
809,168,819x = 384,959,227,738,146,560 - Step 5: Solve for x
x = 384,959,227,738,146,560/809,168,819 - Step 6: Final answer
x = 475,746,492.82
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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.