Finding the Fourth Proportional to 512,009.24, 767,985.09 and 157,022.28
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Solution
The fourth proportional to 512,009.24, 767,985.09 and 157,022.28 is: 235,524.60
Step by Step Solution
- Step 1: Write the proportion equation
512,009.24 : 767,985.09 = 157,022.28 : x - Step 2: Convert to fraction form
512,009.24/767,985.09 = 157,022.28/x - Step 3: Cross multiply
512,009.24x = 767,985.09 × 157,022.28 - Step 4: Simplify right side
512,009.24x = 120,590,769,837.81 - Step 5: Solve for x
x = 120,590,769,837.81/512,009.24 - Step 6: Final answer
x = 235,524.60
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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.