Finding the Fourth Proportional to 408,043.14, 563,102.64 and 226,772.07
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Solution
The fourth proportional to 408,043.14, 563,102.64 and 226,772.07 is: 312,947.18
Step by Step Solution
- Step 1: Write the proportion equation
408,043.14 : 563,102.64 = 226,772.07 : x - Step 2: Convert to fraction form
408,043.14/563,102.64 = 226,772.07/x - Step 3: Cross multiply
408,043.14x = 563,102.64 × 226,772.07 - Step 4: Simplify right side
408,043.14x = 127,695,951,295.27 - Step 5: Solve for x
x = 127,695,951,295.27/408,043.14 - Step 6: Final answer
x = 312,947.18
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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.