Finding the Fourth Proportional to 283,358.96, 424,989.12 and 105,867.44
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Solution
The fourth proportional to 283,358.96, 424,989.12 and 105,867.44 is: 158,782.73
Step by Step Solution
- Step 1: Write the proportion equation
283,358.96 : 424,989.12 = 105,867.44 : x - Step 2: Convert to fraction form
283,358.96/424,989.12 = 105,867.44/x - Step 3: Cross multiply
283,358.96x = 424,989.12 × 105,867.44 - Step 4: Simplify right side
283,358.96x = 44,992,510,162.25 - Step 5: Solve for x
x = 44,992,510,162.25/283,358.96 - Step 6: Final answer
x = 158,782.73
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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.