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Finding the Fourth Proportional to 666,406.15, 998,703.44 and 281,835.31

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Solution

The fourth proportional to 666,406.15, 998,703.44 and 281,835.31 is: 422,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,406.15 : 998,703.44 = 281,835.31 : x
  2. Step 2: Convert to fraction form
    666,406.15/998,703.44 = 281,835.31/x
  3. Step 3: Cross multiply
    666,406.15x = 998,703.44 × 281,835.31
  4. Step 4: Simplify right side
    666,406.15x = 281,469,889,704.53
  5. Step 5: Solve for x
    x = 281,469,889,704.53/666,406.15
  6. Step 6: Final answer
    x = 422,369.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.