Finding the Fourth Proportional to 278,824.14, 418,001.10 and 120,933.68
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Solution
The fourth proportional to 278,824.14, 418,001.10 and 120,933.68 is: 181,298.55
Step by Step Solution
- Step 1: Write the proportion equation
278,824.14 : 418,001.10 = 120,933.68 : x - Step 2: Convert to fraction form
278,824.14/418,001.10 = 120,933.68/x - Step 3: Cross multiply
278,824.14x = 418,001.10 × 120,933.68 - Step 4: Simplify right side
278,824.14x = 50,550,411,267.05 - Step 5: Solve for x
x = 50,550,411,267.05/278,824.14 - Step 6: Final answer
x = 181,298.55
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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.