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Finding the Fourth Proportional to 490,342.38, 676,689.90 and 275,478.12

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Solution

The fourth proportional to 490,342.38, 676,689.90 and 275,478.12 is: 380,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,342.38 : 676,689.90 = 275,478.12 : x
  2. Step 2: Convert to fraction form
    490,342.38/676,689.90 = 275,478.12/x
  3. Step 3: Cross multiply
    490,342.38x = 676,689.90 × 275,478.12
  4. Step 4: Simplify right side
    490,342.38x = 186,413,261,474.99
  5. Step 5: Solve for x
    x = 186,413,261,474.99/490,342.38
  6. Step 6: Final answer
    x = 380,169.59

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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.