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Finding the Fourth Proportional to 494,308.74, 682,140.90 and 276,514.59

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Solution

The fourth proportional to 494,308.74, 682,140.90 and 276,514.59 is: 381,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,308.74 : 682,140.90 = 276,514.59 : x
  2. Step 2: Convert to fraction form
    494,308.74/682,140.90 = 276,514.59/x
  3. Step 3: Cross multiply
    494,308.74x = 682,140.90 × 276,514.59
  4. Step 4: Simplify right side
    494,308.74x = 188,621,911,285.73
  5. Step 5: Solve for x
    x = 188,621,911,285.73/494,308.74
  6. Step 6: Final answer
    x = 381,587.25

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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.