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Finding the Fourth Proportional to 647,202.48, 970,713 and 273,138

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Solution

The fourth proportional to 647,202.48, 970,713 and 273,138 is: 409,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,202.48 : 970,713 = 273,138 : x
  2. Step 2: Convert to fraction form
    647,202.48/970,713 = 273,138/x
  3. Step 3: Cross multiply
    647,202.48x = 970,713 × 273,138
  4. Step 4: Simplify right side
    647,202.48x = 265,138,607,394
  5. Step 5: Solve for x
    x = 265,138,607,394/647,202.48
  6. Step 6: Final answer
    x = 409,668.71

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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.