Finding the Fourth Proportional to 283,132.41, 424,772.12 and 105,640.75
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Solution
The fourth proportional to 283,132.41, 424,772.12 and 105,640.75 is: 158,488.55
Step by Step Solution
- Step 1: Write the proportion equation
283,132.41 : 424,772.12 = 105,640.75 : x - Step 2: Convert to fraction form
283,132.41/424,772.12 = 105,640.75/x - Step 3: Cross multiply
283,132.41x = 424,772.12 × 105,640.75 - Step 4: Simplify right side
283,132.41x = 44,873,245,335.89 - Step 5: Solve for x
x = 44,873,245,335.89/283,132.41 - Step 6: Final answer
x = 158,488.55
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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.