Finding the Fourth Proportional to 320,877.12, 442,817.76 and 177,643.20
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Solution
The fourth proportional to 320,877.12, 442,817.76 and 177,643.20 is: 245,151.68
Step by Step Solution
- Step 1: Write the proportion equation
320,877.12 : 442,817.76 = 177,643.20 : x - Step 2: Convert to fraction form
320,877.12/442,817.76 = 177,643.20/x - Step 3: Cross multiply
320,877.12x = 442,817.76 × 177,643.20 - Step 4: Simplify right side
320,877.12x = 78,663,563,903.23 - Step 5: Solve for x
x = 78,663,563,903.23/320,877.12 - Step 6: Final answer
x = 245,151.68
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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.