Finding the Fourth Proportional to 410,294.84, 566,191.68 and 257,415.26
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Solution
The fourth proportional to 410,294.84, 566,191.68 and 257,415.26 is: 355,223.52
Step by Step Solution
- Step 1: Write the proportion equation
410,294.84 : 566,191.68 = 257,415.26 : x - Step 2: Convert to fraction form
410,294.84/566,191.68 = 257,415.26/x - Step 3: Cross multiply
410,294.84x = 566,191.68 × 257,415.26 - Step 4: Simplify right side
410,294.84x = 145,746,378,517.04 - Step 5: Solve for x
x = 145,746,378,517.04/410,294.84 - Step 6: Final answer
x = 355,223.52
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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.