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Finding the Fourth Proportional to 305,948.88, 422,091.36 and 225,567.36

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Solution

The fourth proportional to 305,948.88, 422,091.36 and 225,567.36 is: 311,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,948.88 : 422,091.36 = 225,567.36 : x
  2. Step 2: Convert to fraction form
    305,948.88/422,091.36 = 225,567.36/x
  3. Step 3: Cross multiply
    305,948.88x = 422,091.36 × 225,567.36
  4. Step 4: Simplify right side
    305,948.88x = 95,210,033,754.01
  5. Step 5: Solve for x
    x = 95,210,033,754.01/305,948.88
  6. Step 6: Final answer
    x = 311,195.89

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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.