Finding the Fourth Proportional to 512,095.10, 706,585.74 and 294,261.68
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Solution
The fourth proportional to 512,095.10, 706,585.74 and 294,261.68 is: 406,020.50
Step by Step Solution
- Step 1: Write the proportion equation
512,095.10 : 706,585.74 = 294,261.68 : x - Step 2: Convert to fraction form
512,095.10/706,585.74 = 294,261.68/x - Step 3: Cross multiply
512,095.10x = 706,585.74 × 294,261.68 - Step 4: Simplify right side
512,095.10x = 207,921,107,579.43 - Step 5: Solve for x
x = 207,921,107,579.43/512,095.10 - Step 6: Final answer
x = 406,020.50
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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.