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Finding the Fourth Proportional to 420,958.22, 580,750.31 and 310,840.73

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Solution

The fourth proportional to 420,958.22, 580,750.31 and 310,840.73 is: 428,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,958.22 : 580,750.31 = 310,840.73 : x
  2. Step 2: Convert to fraction form
    420,958.22/580,750.31 = 310,840.73/x
  3. Step 3: Cross multiply
    420,958.22x = 580,750.31 × 310,840.73
  4. Step 4: Simplify right side
    420,958.22x = 180,520,845,850.17
  5. Step 5: Solve for x
    x = 180,520,845,850.17/420,958.22
  6. Step 6: Final answer
    x = 428,833.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.