Finding the Fourth Proportional to 312,391,016.24, 431,090,268.84 and 171,257,410.85
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Solution
The fourth proportional to 312,391,016.24, 431,090,268.84 and 171,257,410.85 is: 236,330,110.17
Step by Step Solution
- Step 1: Write the proportion equation
312,391,016.24 : 431,090,268.84 = 171,257,410.85 : x - Step 2: Convert to fraction form
312,391,016.24/431,090,268.84 = 171,257,410.85/x - Step 3: Cross multiply
312,391,016.24x = 431,090,268.84 × 171,257,410.85 - Step 4: Simplify right side
312,391,016.24x = 73,827,403,282,013,376 - Step 5: Solve for x
x = 73,827,403,282,013,376/312,391,016.24 - Step 6: Final answer
x = 236,330,110.17
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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.