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Finding the Fourth Proportional to 647,219.76, 970,128.36 and 331,243.44

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Solution

The fourth proportional to 647,219.76, 970,128.36 and 331,243.44 is: 496,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,219.76 : 970,128.36 = 331,243.44 : x
  2. Step 2: Convert to fraction form
    647,219.76/970,128.36 = 331,243.44/x
  3. Step 3: Cross multiply
    647,219.76x = 970,128.36 × 331,243.44
  4. Step 4: Simplify right side
    647,219.76x = 321,348,655,207.96
  5. Step 5: Solve for x
    x = 321,348,655,207.96/647,219.76
  6. Step 6: Final answer
    x = 496,506.25

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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.