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Finding the Fourth Proportional to 647,989.20, 971,854.20 and 311,029.20

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Solution

The fourth proportional to 647,989.20, 971,854.20 and 311,029.20 is: 466,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,989.20 : 971,854.20 = 311,029.20 : x
  2. Step 2: Convert to fraction form
    647,989.20/971,854.20 = 311,029.20/x
  3. Step 3: Cross multiply
    647,989.20x = 971,854.20 × 311,029.20
  4. Step 4: Simplify right side
    647,989.20x = 302,275,034,342.64
  5. Step 5: Solve for x
    x = 302,275,034,342.64/647,989.20
  6. Step 6: Final answer
    x = 466,481.59

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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.