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Finding the Fourth Proportional to 305,909.72, 422,037.52 and 225,528.36

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Solution

The fourth proportional to 305,909.72, 422,037.52 and 225,528.36 is: 311,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.72 : 422,037.52 = 225,528.36 : x
  2. Step 2: Convert to fraction form
    305,909.72/422,037.52 = 225,528.36/x
  3. Step 3: Cross multiply
    305,909.72x = 422,037.52 × 225,528.36
  4. Step 4: Simplify right side
    305,909.72x = 95,181,429,744.07
  5. Step 5: Solve for x
    x = 95,181,429,744.07/305,909.72
  6. Step 6: Final answer
    x = 311,142.22

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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.