Finding the Fourth Proportional to 314,089.25, 471,405.83 and 164,434.19
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Solution
The fourth proportional to 314,089.25, 471,405.83 and 164,434.19 is: 246,793.65
Step by Step Solution
- Step 1: Write the proportion equation
314,089.25 : 471,405.83 = 164,434.19 : x - Step 2: Convert to fraction form
314,089.25/471,405.83 = 164,434.19/x - Step 3: Cross multiply
314,089.25x = 471,405.83 × 164,434.19 - Step 4: Simplify right side
314,089.25x = 77,515,232,638.13 - Step 5: Solve for x
x = 77,515,232,638.13/314,089.25 - Step 6: Final answer
x = 246,793.65
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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.