Finding the Fourth Proportional to 509,303.21, 763,954.96 and 189,413.28
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Solution
The fourth proportional to 509,303.21, 763,954.96 and 189,413.28 is: 284,119.98
Step by Step Solution
- Step 1: Write the proportion equation
509,303.21 : 763,954.96 = 189,413.28 : x - Step 2: Convert to fraction form
509,303.21/763,954.96 = 189,413.28/x - Step 3: Cross multiply
509,303.21x = 763,954.96 × 189,413.28 - Step 4: Simplify right side
509,303.21x = 144,703,218,386.10 - Step 5: Solve for x
x = 144,703,218,386.10/509,303.21 - Step 6: Final answer
x = 284,119.98
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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.