Finding the Fourth Proportional to 407,430.78, 562,246.02 and 226,132.08
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Solution
The fourth proportional to 407,430.78, 562,246.02 and 226,132.08 is: 312,057.58
Step by Step Solution
- Step 1: Write the proportion equation
407,430.78 : 562,246.02 = 226,132.08 : x - Step 2: Convert to fraction form
407,430.78/562,246.02 = 226,132.08/x - Step 3: Cross multiply
407,430.78x = 562,246.02 × 226,132.08 - Step 4: Simplify right side
407,430.78x = 127,141,861,974.32 - Step 5: Solve for x
x = 127,141,861,974.32/407,430.78 - Step 6: Final answer
x = 312,057.58
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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.