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Finding the Fourth Proportional to 491,634.92, 678,454.38 and 276,775.52

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Solution

The fourth proportional to 491,634.92, 678,454.38 and 276,775.52 is: 381,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,634.92 : 678,454.38 = 276,775.52 : x
  2. Step 2: Convert to fraction form
    491,634.92/678,454.38 = 276,775.52/x
  3. Step 3: Cross multiply
    491,634.92x = 678,454.38 × 276,775.52
  4. Step 4: Simplify right side
    491,634.92x = 187,779,563,820.78
  5. Step 5: Solve for x
    x = 187,779,563,820.78/491,634.92
  6. Step 6: Final answer
    x = 381,949.20

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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.