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Finding the Fourth Proportional to 491,508.64, 678,280.26 and 276,648.58

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Solution

The fourth proportional to 491,508.64, 678,280.26 and 276,648.58 is: 381,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,508.64 : 678,280.26 = 276,648.58 : x
  2. Step 2: Convert to fraction form
    491,508.64/678,280.26 = 276,648.58/x
  3. Step 3: Cross multiply
    491,508.64x = 678,280.26 × 276,648.58
  4. Step 4: Simplify right side
    491,508.64x = 187,645,270,771.03
  5. Step 5: Solve for x
    x = 187,645,270,771.03/491,508.64
  6. Step 6: Final answer
    x = 381,774.10

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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.