Finding the Fourth Proportional to 310,415.40, 465,752.70 and 100,117.80
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Solution
The fourth proportional to 310,415.40, 465,752.70 and 100,117.80 is: 150,218.50
Step by Step Solution
- Step 1: Write the proportion equation
310,415.40 : 465,752.70 = 100,117.80 : x - Step 2: Convert to fraction form
310,415.40/465,752.70 = 100,117.80/x - Step 3: Cross multiply
310,415.40x = 465,752.70 × 100,117.80 - Step 4: Simplify right side
310,415.40x = 46,630,135,668.06 - Step 5: Solve for x
x = 46,630,135,668.06/310,415.40 - Step 6: Final answer
x = 150,218.50
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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.