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Finding the Fourth Proportional to 488,211.30, 732,207.60 and 320,905.80

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Solution

The fourth proportional to 488,211.30, 732,207.60 and 320,905.80 is: 481,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,211.30 : 732,207.60 = 320,905.80 : x
  2. Step 2: Convert to fraction form
    488,211.30/732,207.60 = 320,905.80/x
  3. Step 3: Cross multiply
    488,211.30x = 732,207.60 × 320,905.80
  4. Step 4: Simplify right side
    488,211.30x = 234,969,665,644.08
  5. Step 5: Solve for x
    x = 234,969,665,644.08/488,211.30
  6. Step 6: Final answer
    x = 481,286.82

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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.