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Finding the Fourth Proportional to 288,025.56, 397,456.38 and 180,591

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Solution

The fourth proportional to 288,025.56, 397,456.38 and 180,591 is: 249,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,025.56 : 397,456.38 = 180,591 : x
  2. Step 2: Convert to fraction form
    288,025.56/397,456.38 = 180,591/x
  3. Step 3: Cross multiply
    288,025.56x = 397,456.38 × 180,591
  4. Step 4: Simplify right side
    288,025.56x = 71,777,045,120.58
  5. Step 5: Solve for x
    x = 71,777,045,120.58/288,025.56
  6. Step 6: Final answer
    x = 249,203.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.