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Finding the Fourth Proportional to 491,158.47, 677,797.72 and 276,298.70

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Solution

The fourth proportional to 491,158.47, 677,797.72 and 276,298.70 is: 381,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,158.47 : 677,797.72 = 276,298.70 : x
  2. Step 2: Convert to fraction form
    491,158.47/677,797.72 = 276,298.70/x
  3. Step 3: Cross multiply
    491,158.47x = 677,797.72 × 276,298.70
  4. Step 4: Simplify right side
    491,158.47x = 187,274,628,898.96
  5. Step 5: Solve for x
    x = 187,274,628,898.96/491,158.47
  6. Step 6: Final answer
    x = 381,291.66

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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.