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Finding the Fourth Proportional to 231,805.60, 347,708.40 and 220,919.20

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Solution

The fourth proportional to 231,805.60, 347,708.40 and 220,919.20 is: 331,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,805.60 : 347,708.40 = 220,919.20 : x
  2. Step 2: Convert to fraction form
    231,805.60/347,708.40 = 220,919.20/x
  3. Step 3: Cross multiply
    231,805.60x = 347,708.40 × 220,919.20
  4. Step 4: Simplify right side
    231,805.60x = 76,815,461,561.28
  5. Step 5: Solve for x
    x = 76,815,461,561.28/231,805.60
  6. Step 6: Final answer
    x = 331,378.80

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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.