Finding the Fourth Proportional to 509,702.96, 703,408.16 and 280,277.70
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Solution
The fourth proportional to 509,702.96, 703,408.16 and 280,277.70 is: 386,793.17
Step by Step Solution
- Step 1: Write the proportion equation
509,702.96 : 703,408.16 = 280,277.70 : x - Step 2: Convert to fraction form
509,702.96/703,408.16 = 280,277.70/x - Step 3: Cross multiply
509,702.96x = 703,408.16 × 280,277.70 - Step 4: Simplify right side
509,702.96x = 197,149,621,246.03 - Step 5: Solve for x
x = 197,149,621,246.03/509,702.96 - Step 6: Final answer
x = 386,793.17
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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.