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Finding the Fourth Proportional to 428,144.25, 590,839.11 and 237,170.01

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Solution

The fourth proportional to 428,144.25, 590,839.11 and 237,170.01 is: 327,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,144.25 : 590,839.11 = 237,170.01 : x
  2. Step 2: Convert to fraction form
    428,144.25/590,839.11 = 237,170.01/x
  3. Step 3: Cross multiply
    428,144.25x = 590,839.11 × 237,170.01
  4. Step 4: Simplify right side
    428,144.25x = 140,129,317,627.09
  5. Step 5: Solve for x
    x = 140,129,317,627.09/428,144.25
  6. Step 6: Final answer
    x = 327,294.64

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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.