Finding the Fourth Proportional to 417,178.74, 575,701.49 and 226,191.68
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Solution
The fourth proportional to 417,178.74, 575,701.49 and 226,191.68 is: 312,141.71
Step by Step Solution
- Step 1: Write the proportion equation
417,178.74 : 575,701.49 = 226,191.68 : x - Step 2: Convert to fraction form
417,178.74/575,701.49 = 226,191.68/x - Step 3: Cross multiply
417,178.74x = 575,701.49 × 226,191.68 - Step 4: Simplify right side
417,178.74x = 130,218,887,201.60 - Step 5: Solve for x
x = 130,218,887,201.60/417,178.74 - Step 6: Final answer
x = 312,141.71
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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.