Finding the Fourth Proportional to 281,142.76, 387,973.44 and 160,280.08
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Solution
The fourth proportional to 281,142.76, 387,973.44 and 160,280.08 is: 221,184.48
Step by Step Solution
- Step 1: Write the proportion equation
281,142.76 : 387,973.44 = 160,280.08 : x - Step 2: Convert to fraction form
281,142.76/387,973.44 = 160,280.08/x - Step 3: Cross multiply
281,142.76x = 387,973.44 × 160,280.08 - Step 4: Simplify right side
281,142.76x = 62,184,414,001.08 - Step 5: Solve for x
x = 62,184,414,001.08/281,142.76 - Step 6: Final answer
x = 221,184.48
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1.5x scale
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.