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Finding the Fourth Proportional to 428,243.45, 590,995.31 and 237,256.83

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Solution

The fourth proportional to 428,243.45, 590,995.31 and 237,256.83 is: 327,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,243.45 : 590,995.31 = 237,256.83 : x
  2. Step 2: Convert to fraction form
    428,243.45/590,995.31 = 237,256.83/x
  3. Step 3: Cross multiply
    428,243.45x = 590,995.31 × 237,256.83
  4. Step 4: Simplify right side
    428,243.45x = 140,217,672,609.18
  5. Step 5: Solve for x
    x = 140,217,672,609.18/428,243.45
  6. Step 6: Final answer
    x = 327,425.15

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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.