Finding the Fourth Proportional to 314,649.68, 471,965.88 and 77,987.12
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Solution
The fourth proportional to 314,649.68, 471,965.88 and 77,987.12 is: 116,978.54
Step by Step Solution
- Step 1: Write the proportion equation
314,649.68 : 471,965.88 = 77,987.12 : x - Step 2: Convert to fraction form
314,649.68/471,965.88 = 77,987.12/x - Step 3: Cross multiply
314,649.68x = 471,965.88 × 77,987.12 - Step 4: Simplify right side
314,649.68x = 36,807,259,719.47 - Step 5: Solve for x
x = 36,807,259,719.47/314,649.68 - Step 6: Final answer
x = 116,978.54
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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.