Finding the Fourth Proportional to 301,023.14, 415,416.75 and 165,069.50
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Solution
The fourth proportional to 301,023.14, 415,416.75 and 165,069.50 is: 227,798.55
Step by Step Solution
- Step 1: Write the proportion equation
301,023.14 : 415,416.75 = 165,069.50 : x - Step 2: Convert to fraction form
301,023.14/415,416.75 = 165,069.50/x - Step 3: Cross multiply
301,023.14x = 415,416.75 × 165,069.50 - Step 4: Simplify right side
301,023.14x = 68,572,635,214.13 - Step 5: Solve for x
x = 68,572,635,214.13/301,023.14 - Step 6: Final answer
x = 227,798.55
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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.