Finding the Fourth Proportional to 805,406.40, 1,208,455.20 and 411,422.40
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Solution
The fourth proportional to 805,406.40, 1,208,455.20 and 411,422.40 is: 617,310.14
Step by Step Solution
- Step 1: Write the proportion equation
805,406.40 : 1,208,455.20 = 411,422.40 : x - Step 2: Convert to fraction form
805,406.40/1,208,455.20 = 411,422.40/x - Step 3: Cross multiply
805,406.40x = 1,208,455.20 × 411,422.40 - Step 4: Simplify right side
805,406.40x = 497,185,538,676.48 - Step 5: Solve for x
x = 497,185,538,676.48/805,406.40 - Step 6: Final answer
x = 617,310.14
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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.