Finding the Fourth Proportional to 278,358.74, 384,135.12 and 157,497.44
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Solution
The fourth proportional to 278,358.74, 384,135.12 and 157,497.44 is: 217,346.50
Step by Step Solution
- Step 1: Write the proportion equation
278,358.74 : 384,135.12 = 157,497.44 : x - Step 2: Convert to fraction form
278,358.74/384,135.12 = 157,497.44/x - Step 3: Cross multiply
278,358.74x = 384,135.12 × 157,497.44 - Step 4: Simplify right side
278,358.74x = 60,500,298,014.09 - Step 5: Solve for x
x = 60,500,298,014.09/278,358.74 - Step 6: Final answer
x = 217,346.50
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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.