Finding the Fourth Proportional to 983,105.10, 1,475,230.84 and 414,451.40
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Solution
The fourth proportional to 983,105.10, 1,475,230.84 and 414,451.40 is: 621,918.74
Step by Step Solution
- Step 1: Write the proportion equation
983,105.10 : 1,475,230.84 = 414,451.40 : x - Step 2: Convert to fraction form
983,105.10/1,475,230.84 = 414,451.40/x - Step 3: Cross multiply
983,105.10x = 1,475,230.84 × 414,451.40 - Step 4: Simplify right side
983,105.10x = 611,411,486,961.18 - Step 5: Solve for x
x = 611,411,486,961.18/983,105.10 - Step 6: Final answer
x = 621,918.74
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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.