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Finding the Fourth Proportional to 279,809.40, 419,560.20 and 191,163

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Solution

The fourth proportional to 279,809.40, 419,560.20 and 191,163 is: 286,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,809.40 : 419,560.20 = 191,163 : x
  2. Step 2: Convert to fraction form
    279,809.40/419,560.20 = 191,163/x
  3. Step 3: Cross multiply
    279,809.40x = 419,560.20 × 191,163
  4. Step 4: Simplify right side
    279,809.40x = 80,204,386,512.60
  5. Step 5: Solve for x
    x = 80,204,386,512.60/279,809.40
  6. Step 6: Final answer
    x = 286,639.36

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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.