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Finding the Fourth Proportional to 257,526.56, 355,191.36 and 225,640

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Solution

The fourth proportional to 257,526.56, 355,191.36 and 225,640 is: 311,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,526.56 : 355,191.36 = 225,640 : x
  2. Step 2: Convert to fraction form
    257,526.56/355,191.36 = 225,640/x
  3. Step 3: Cross multiply
    257,526.56x = 355,191.36 × 225,640
  4. Step 4: Simplify right side
    257,526.56x = 80,145,378,470.40
  5. Step 5: Solve for x
    x = 80,145,378,470.40/257,526.56
  6. Step 6: Final answer
    x = 311,212.09

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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.