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Finding the Fourth Proportional to 280,717.20, 420,419.70 and 275,079.60

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Solution

The fourth proportional to 280,717.20, 420,419.70 and 275,079.60 is: 411,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,717.20 : 420,419.70 = 275,079.60 : x
  2. Step 2: Convert to fraction form
    280,717.20/420,419.70 = 275,079.60/x
  3. Step 3: Cross multiply
    280,717.20x = 420,419.70 × 275,079.60
  4. Step 4: Simplify right side
    280,717.20x = 115,648,882,908.12
  5. Step 5: Solve for x
    x = 115,648,882,908.12/280,717.20
  6. Step 6: Final answer
    x = 411,976.48

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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.