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Finding the Fourth Proportional to 413,576.28, 620,367.66 and 226,485.72

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Solution

The fourth proportional to 413,576.28, 620,367.66 and 226,485.72 is: 339,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,576.28 : 620,367.66 = 226,485.72 : x
  2. Step 2: Convert to fraction form
    413,576.28/620,367.66 = 226,485.72/x
  3. Step 3: Cross multiply
    413,576.28x = 620,367.66 × 226,485.72
  4. Step 4: Simplify right side
    413,576.28x = 140,504,416,139.82
  5. Step 5: Solve for x
    x = 140,504,416,139.82/413,576.28
  6. Step 6: Final answer
    x = 339,730.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.