Finding the Fourth Proportional to 280,102.24, 386,573.76 and 159,261.62
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Solution
The fourth proportional to 280,102.24, 386,573.76 and 159,261.62 is: 219,799.61
Step by Step Solution
- Step 1: Write the proportion equation
280,102.24 : 386,573.76 = 159,261.62 : x - Step 2: Convert to fraction form
280,102.24/386,573.76 = 159,261.62/x - Step 3: Cross multiply
280,102.24x = 386,573.76 × 159,261.62 - Step 4: Simplify right side
280,102.24x = 61,566,363,267.09 - Step 5: Solve for x
x = 61,566,363,267.09/280,102.24 - Step 6: Final answer
x = 219,799.61
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1.5x scale
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.