Finding the Fourth Proportional to 278,154.23, 417,122.15 and 98,201.24
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Solution
The fourth proportional to 278,154.23, 417,122.15 and 98,201.24 is: 147,263.32
Step by Step Solution
- Step 1: Write the proportion equation
278,154.23 : 417,122.15 = 98,201.24 : x - Step 2: Convert to fraction form
278,154.23/417,122.15 = 98,201.24/x - Step 3: Cross multiply
278,154.23x = 417,122.15 × 98,201.24 - Step 4: Simplify right side
278,154.23x = 40,961,913,649.77 - Step 5: Solve for x
x = 40,961,913,649.77/278,154.23 - Step 6: Final answer
x = 147,263.32
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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.