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Finding the Fourth Proportional to 305,950.88, 422,094.12 and 225,569.36

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Solution

The fourth proportional to 305,950.88, 422,094.12 and 225,569.36 is: 311,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,950.88 : 422,094.12 = 225,569.36 : x
  2. Step 2: Convert to fraction form
    305,950.88/422,094.12 = 225,569.36/x
  3. Step 3: Cross multiply
    305,950.88x = 422,094.12 × 225,569.36
  4. Step 4: Simplify right side
    305,950.88x = 95,211,500,508.16
  5. Step 5: Solve for x
    x = 95,211,500,508.16/305,950.88
  6. Step 6: Final answer
    x = 311,198.65

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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.