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Finding the Fourth Proportional to 389,512.80, 584,269.20 and 283,224.60

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Solution

The fourth proportional to 389,512.80, 584,269.20 and 283,224.60 is: 424,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,512.80 : 584,269.20 = 283,224.60 : x
  2. Step 2: Convert to fraction form
    389,512.80/584,269.20 = 283,224.60/x
  3. Step 3: Cross multiply
    389,512.80x = 584,269.20 × 283,224.60
  4. Step 4: Simplify right side
    389,512.80x = 165,479,410,462.32
  5. Step 5: Solve for x
    x = 165,479,410,462.32/389,512.80
  6. Step 6: Final answer
    x = 424,836.90

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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.