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Finding the Fourth Proportional to 498,311.83, 687,660.73 and 271,958.95

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Solution

The fourth proportional to 498,311.83, 687,660.73 and 271,958.95 is: 375,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,311.83 : 687,660.73 = 271,958.95 : x
  2. Step 2: Convert to fraction form
    498,311.83/687,660.73 = 271,958.95/x
  3. Step 3: Cross multiply
    498,311.83x = 687,660.73 × 271,958.95
  4. Step 4: Simplify right side
    498,311.83x = 187,015,490,087.03
  5. Step 5: Solve for x
    x = 187,015,490,087.03/498,311.83
  6. Step 6: Final answer
    x = 375,298.11

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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.