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Finding the Fourth Proportional to 257,538.56, 355,207.92 and 225,652

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Solution

The fourth proportional to 257,538.56, 355,207.92 and 225,652 is: 311,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,538.56 : 355,207.92 = 225,652 : x
  2. Step 2: Convert to fraction form
    257,538.56/355,207.92 = 225,652/x
  3. Step 3: Cross multiply
    257,538.56x = 355,207.92 × 225,652
  4. Step 4: Simplify right side
    257,538.56x = 80,153,377,563.84
  5. Step 5: Solve for x
    x = 80,153,377,563.84/257,538.56
  6. Step 6: Final answer
    x = 311,228.65

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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.