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Finding the Fourth Proportional to 491,157.47, 677,796.34 and 276,297.70

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Solution

The fourth proportional to 491,157.47, 677,796.34 and 276,297.70 is: 381,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,157.47 : 677,796.34 = 276,297.70 : x
  2. Step 2: Convert to fraction form
    491,157.47/677,796.34 = 276,297.70/x
  3. Step 3: Cross multiply
    491,157.47x = 677,796.34 × 276,297.70
  4. Step 4: Simplify right side
    491,157.47x = 187,273,569,214.11
  5. Step 5: Solve for x
    x = 187,273,569,214.11/491,157.47
  6. Step 6: Final answer
    x = 381,290.28

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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.