Finding the Fourth Proportional to 313,278,214.05, 432,331,135.92 and 172,158,208.14
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Solution
The fourth proportional to 313,278,214.05, 432,331,135.92 and 172,158,208.14 is: 237,582,284.20
Step by Step Solution
- Step 1: Write the proportion equation
313,278,214.05 : 432,331,135.92 = 172,158,208.14 : x - Step 2: Convert to fraction form
313,278,214.05/432,331,135.92 = 172,158,208.14/x - Step 3: Cross multiply
313,278,214.05x = 432,331,135.92 × 172,158,208.14 - Step 4: Simplify right side
313,278,214.05x = 74,429,353,683,117,984 - Step 5: Solve for x
x = 74,429,353,683,117,984/313,278,214.05 - Step 6: Final answer
x = 237,582,284.20
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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.