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Finding the Fourth Proportional to 288,693, 398,571.30 and 188,265.96

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Solution

The fourth proportional to 288,693, 398,571.30 and 188,265.96 is: 259,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,693 : 398,571.30 = 188,265.96 : x
  2. Step 2: Convert to fraction form
    288,693/398,571.30 = 188,265.96/x
  3. Step 3: Cross multiply
    288,693x = 398,571.30 × 188,265.96
  4. Step 4: Simplify right side
    288,693x = 75,037,408,422.95
  5. Step 5: Solve for x
    x = 75,037,408,422.95/288,693
  6. Step 6: Final answer
    x = 259,921.12

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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.