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Finding the Fourth Proportional to 281,329.15, 422,908.16 and 225,777.98

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Solution

The fourth proportional to 281,329.15, 422,908.16 and 225,777.98 is: 339,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,329.15 : 422,908.16 = 225,777.98 : x
  2. Step 2: Convert to fraction form
    281,329.15/422,908.16 = 225,777.98/x
  3. Step 3: Cross multiply
    281,329.15x = 422,908.16 × 225,777.98
  4. Step 4: Simplify right side
    281,329.15x = 95,483,351,923.70
  5. Step 5: Solve for x
    x = 95,483,351,923.70/281,329.15
  6. Step 6: Final answer
    x = 339,400.85

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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.