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Finding the Fourth Proportional to 420,863.64, 631,429.92 and 150,809.44

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Solution

The fourth proportional to 420,863.64, 631,429.92 and 150,809.44 is: 226,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,863.64 : 631,429.92 = 150,809.44 : x
  2. Step 2: Convert to fraction form
    420,863.64/631,429.92 = 150,809.44/x
  3. Step 3: Cross multiply
    420,863.64x = 631,429.92 × 150,809.44
  4. Step 4: Simplify right side
    420,863.64x = 95,225,592,634.44
  5. Step 5: Solve for x
    x = 95,225,592,634.44/420,863.64
  6. Step 6: Final answer
    x = 226,262.34

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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.