Finding the Fourth Proportional to 821,851.12, 1,233,103.68 and 316,276.36
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Solution
The fourth proportional to 821,851.12, 1,233,103.68 and 316,276.36 is: 474,540.38
Step by Step Solution
- Step 1: Write the proportion equation
821,851.12 : 1,233,103.68 = 316,276.36 : x - Step 2: Convert to fraction form
821,851.12/1,233,103.68 = 316,276.36/x - Step 3: Cross multiply
821,851.12x = 1,233,103.68 × 316,276.36 - Step 4: Simplify right side
821,851.12x = 390,001,543,413.01 - Step 5: Solve for x
x = 390,001,543,413.01/821,851.12 - Step 6: Final answer
x = 474,540.38
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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.