Finding the Fourth Proportional to 305,875.20, 458,812.80 and 106,129.20
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Solution
The fourth proportional to 305,875.20, 458,812.80 and 106,129.20 is: 159,193.80
Step by Step Solution
- Step 1: Write the proportion equation
305,875.20 : 458,812.80 = 106,129.20 : x - Step 2: Convert to fraction form
305,875.20/458,812.80 = 106,129.20/x - Step 3: Cross multiply
305,875.20x = 458,812.80 × 106,129.20 - Step 4: Simplify right side
305,875.20x = 48,693,435,413.76 - Step 5: Solve for x
x = 48,693,435,413.76/305,875.20 - Step 6: Final answer
x = 159,193.80
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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.