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Finding the Fourth Proportional to 280,568.28, 387,204 and 159,709.62

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Solution

The fourth proportional to 280,568.28, 387,204 and 159,709.62 is: 220,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,568.28 : 387,204 = 159,709.62 : x
  2. Step 2: Convert to fraction form
    280,568.28/387,204 = 159,709.62/x
  3. Step 3: Cross multiply
    280,568.28x = 387,204 × 159,709.62
  4. Step 4: Simplify right side
    280,568.28x = 61,840,203,702.48
  5. Step 5: Solve for x
    x = 61,840,203,702.48/280,568.28
  6. Step 6: Final answer
    x = 220,410.53

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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.