Finding the Fourth Proportional to 311,878.38, 467,854.14 and 109,412.58
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Solution
The fourth proportional to 311,878.38, 467,854.14 and 109,412.58 is: 164,131.70
Step by Step Solution
- Step 1: Write the proportion equation
311,878.38 : 467,854.14 = 109,412.58 : x - Step 2: Convert to fraction form
311,878.38/467,854.14 = 109,412.58/x - Step 3: Cross multiply
311,878.38x = 467,854.14 × 109,412.58 - Step 4: Simplify right side
311,878.38x = 51,189,128,521.08 - Step 5: Solve for x
x = 51,189,128,521.08/311,878.38 - Step 6: Final answer
x = 164,131.70
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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.