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Finding the Fourth Proportional to 490,857.80, 736,286.70 and 280,905.80

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Solution

The fourth proportional to 490,857.80, 736,286.70 and 280,905.80 is: 421,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,857.80 : 736,286.70 = 280,905.80 : x
  2. Step 2: Convert to fraction form
    490,857.80/736,286.70 = 280,905.80/x
  3. Step 3: Cross multiply
    490,857.80x = 736,286.70 × 280,905.80
  4. Step 4: Simplify right side
    490,857.80x = 206,827,204,492.86
  5. Step 5: Solve for x
    x = 206,827,204,492.86/490,857.80
  6. Step 6: Final answer
    x = 421,358.70

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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.