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Finding the Fourth Proportional to 431,327.40, 646,991.10 and 394,002.60

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Solution

The fourth proportional to 431,327.40, 646,991.10 and 394,002.60 is: 591,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,327.40 : 646,991.10 = 394,002.60 : x
  2. Step 2: Convert to fraction form
    431,327.40/646,991.10 = 394,002.60/x
  3. Step 3: Cross multiply
    431,327.40x = 646,991.10 × 394,002.60
  4. Step 4: Simplify right side
    431,327.40x = 254,916,175,576.86
  5. Step 5: Solve for x
    x = 254,916,175,576.86/431,327.40
  6. Step 6: Final answer
    x = 591,003.90

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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.