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Finding the Fourth Proportional to 647,193.64, 970,930.60 and 247,834.43

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Solution

The fourth proportional to 647,193.64, 970,930.60 and 247,834.43 is: 371,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,193.64 : 970,930.60 = 247,834.43 : x
  2. Step 2: Convert to fraction form
    647,193.64/970,930.60 = 247,834.43/x
  3. Step 3: Cross multiply
    647,193.64x = 970,930.60 × 247,834.43
  4. Step 4: Simplify right side
    647,193.64x = 240,630,031,820.56
  5. Step 5: Solve for x
    x = 240,630,031,820.56/647,193.64
  6. Step 6: Final answer
    x = 371,805.31

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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.