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Finding the Fourth Proportional to 431,302.70, 647,148.45 and 206,576.30

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Solution

The fourth proportional to 431,302.70, 647,148.45 and 206,576.30 is: 309,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,302.70 : 647,148.45 = 206,576.30 : x
  2. Step 2: Convert to fraction form
    431,302.70/647,148.45 = 206,576.30/x
  3. Step 3: Cross multiply
    431,302.70x = 647,148.45 × 206,576.30
  4. Step 4: Simplify right side
    431,302.70x = 133,685,532,351.74
  5. Step 5: Solve for x
    x = 133,685,532,351.74/431,302.70
  6. Step 6: Final answer
    x = 309,957.56

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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.