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Finding the Fourth Proportional to 493,911.80, 741,213.30 and 213,630.20

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Solution

The fourth proportional to 493,911.80, 741,213.30 and 213,630.20 is: 320,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,911.80 : 741,213.30 = 213,630.20 : x
  2. Step 2: Convert to fraction form
    493,911.80/741,213.30 = 213,630.20/x
  3. Step 3: Cross multiply
    493,911.80x = 741,213.30 × 213,630.20
  4. Step 4: Simplify right side
    493,911.80x = 158,345,545,521.66
  5. Step 5: Solve for x
    x = 158,345,545,521.66/493,911.80
  6. Step 6: Final answer
    x = 320,594.78

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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.