Finding the Fourth Proportional to 287,117.41, 430,643.28 and 76,771.75
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Solution
The fourth proportional to 287,117.41, 430,643.28 and 76,771.75 is: 115,148.84
Step by Step Solution
- Step 1: Write the proportion equation
287,117.41 : 430,643.28 = 76,771.75 : x - Step 2: Convert to fraction form
287,117.41/430,643.28 = 76,771.75/x - Step 3: Cross multiply
287,117.41x = 430,643.28 × 76,771.75 - Step 4: Simplify right side
287,117.41x = 33,061,237,154.73 - Step 5: Solve for x
x = 33,061,237,154.73/287,117.41 - Step 6: Final answer
x = 115,148.84
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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.