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Finding the Fourth Proportional to 428,245.31, 590,997.90 and 237,258.70

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Solution

The fourth proportional to 428,245.31, 590,997.90 and 237,258.70 is: 327,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,245.31 : 590,997.90 = 237,258.70 : x
  2. Step 2: Convert to fraction form
    428,245.31/590,997.90 = 237,258.70/x
  3. Step 3: Cross multiply
    428,245.31x = 590,997.90 × 237,258.70
  4. Step 4: Simplify right side
    428,245.31x = 140,219,396,193.32
  5. Step 5: Solve for x
    x = 140,219,396,193.32/428,245.31
  6. Step 6: Final answer
    x = 327,427.74

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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.