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Finding the Fourth Proportional to 428,172.74, 590,914.40 and 237,203.90

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Solution

The fourth proportional to 428,172.74, 590,914.40 and 237,203.90 is: 327,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,172.74 : 590,914.40 = 237,203.90 : x
  2. Step 2: Convert to fraction form
    428,172.74/590,914.40 = 237,203.90/x
  3. Step 3: Cross multiply
    428,172.74x = 590,914.40 × 237,203.90
  4. Step 4: Simplify right side
    428,172.74x = 140,167,200,246.16
  5. Step 5: Solve for x
    x = 140,167,200,246.16/428,172.74
  6. Step 6: Final answer
    x = 327,361.34

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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.