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Finding the Fourth Proportional to 275,672.40, 380,398.32 and 154,826.88

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Solution

The fourth proportional to 275,672.40, 380,398.32 and 154,826.88 is: 213,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,672.40 : 380,398.32 = 154,826.88 : x
  2. Step 2: Convert to fraction form
    275,672.40/380,398.32 = 154,826.88/x
  3. Step 3: Cross multiply
    275,672.40x = 380,398.32 × 154,826.88
  4. Step 4: Simplify right side
    275,672.40x = 58,895,885,042.84
  5. Step 5: Solve for x
    x = 58,895,885,042.84/275,672.40
  6. Step 6: Final answer
    x = 213,644.47

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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.