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Finding the Fourth Proportional to 257,178.40, 355,583.42 and 225,255.70

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Solution

The fourth proportional to 257,178.40, 355,583.42 and 225,255.70 is: 311,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,178.40 : 355,583.42 = 225,255.70 : x
  2. Step 2: Convert to fraction form
    257,178.40/355,583.42 = 225,255.70/x
  3. Step 3: Cross multiply
    257,178.40x = 355,583.42 × 225,255.70
  4. Step 4: Simplify right side
    257,178.40x = 80,097,192,180.49
  5. Step 5: Solve for x
    x = 80,097,192,180.49/257,178.40
  6. Step 6: Final answer
    x = 311,446.03

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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.