Finding the Fourth Proportional to 409,399.65, 565,013.07 and 228,141.09
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Solution
The fourth proportional to 409,399.65, 565,013.07 and 228,141.09 is: 314,857.86
Step by Step Solution
- Step 1: Write the proportion equation
409,399.65 : 565,013.07 = 228,141.09 : x - Step 2: Convert to fraction form
409,399.65/565,013.07 = 228,141.09/x - Step 3: Cross multiply
409,399.65x = 565,013.07 × 228,141.09 - Step 4: Simplify right side
409,399.65x = 128,902,697,654.05 - Step 5: Solve for x
x = 128,902,697,654.05/409,399.65 - Step 6: Final answer
x = 314,857.86
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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.