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Finding the Fourth Proportional to 491,441.78, 678,211.48 and 276,595.76

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Solution

The fourth proportional to 491,441.78, 678,211.48 and 276,595.76 is: 381,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,441.78 : 678,211.48 = 276,595.76 : x
  2. Step 2: Convert to fraction form
    491,441.78/678,211.48 = 276,595.76/x
  3. Step 3: Cross multiply
    491,441.78x = 678,211.48 × 276,595.76
  4. Step 4: Simplify right side
    491,441.78x = 187,590,419,751.33
  5. Step 5: Solve for x
    x = 187,590,419,751.33/491,441.78
  6. Step 6: Final answer
    x = 381,714.43

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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.