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Finding the Fourth Proportional to 428,426.92, 591,207.78 and 237,438.64

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Solution

The fourth proportional to 428,426.92, 591,207.78 and 237,438.64 is: 327,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,426.92 : 591,207.78 = 237,438.64 : x
  2. Step 2: Convert to fraction form
    428,426.92/591,207.78 = 237,438.64/x
  3. Step 3: Cross multiply
    428,426.92x = 591,207.78 × 237,438.64
  4. Step 4: Simplify right side
    428,426.92x = 140,375,571,240.62
  5. Step 5: Solve for x
    x = 140,375,571,240.62/428,426.92
  6. Step 6: Final answer
    x = 327,653.48

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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.