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Finding the Fourth Proportional to 488,212.30, 732,209.10 and 320,906.80

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Solution

The fourth proportional to 488,212.30, 732,209.10 and 320,906.80 is: 481,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,212.30 : 732,209.10 = 320,906.80 : x
  2. Step 2: Convert to fraction form
    488,212.30/732,209.10 = 320,906.80/x
  3. Step 3: Cross multiply
    488,212.30x = 732,209.10 × 320,906.80
  4. Step 4: Simplify right side
    488,212.30x = 234,970,879,211.88
  5. Step 5: Solve for x
    x = 234,970,879,211.88/488,212.30
  6. Step 6: Final answer
    x = 481,288.32

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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.