Finding the Fourth Proportional to 870,248.58, 1,305,640.13 and 415,420.20
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Solution
The fourth proportional to 870,248.58, 1,305,640.13 and 415,420.20 is: 623,257.88
Step by Step Solution
- Step 1: Write the proportion equation
870,248.58 : 1,305,640.13 = 415,420.20 : x - Step 2: Convert to fraction form
870,248.58/1,305,640.13 = 415,420.20/x - Step 3: Cross multiply
870,248.58x = 1,305,640.13 × 415,420.20 - Step 4: Simplify right side
870,248.58x = 542,389,281,855.53 - Step 5: Solve for x
x = 542,389,281,855.53/870,248.58 - Step 6: Final answer
x = 623,257.88
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1.5x scale
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.