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Finding the Fourth Proportional to 281,141.10, 421,906.05 and 202,311.90

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Solution

The fourth proportional to 281,141.10, 421,906.05 and 202,311.90 is: 303,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,141.10 : 421,906.05 = 202,311.90 : x
  2. Step 2: Convert to fraction form
    281,141.10/421,906.05 = 202,311.90/x
  3. Step 3: Cross multiply
    281,141.10x = 421,906.05 × 202,311.90
  4. Step 4: Simplify right side
    281,141.10x = 85,356,614,597.00
  5. Step 5: Solve for x
    x = 85,356,614,597.00/281,141.10
  6. Step 6: Final answer
    x = 303,607.74

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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.