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Finding the Fourth Proportional to 408,435.88, 612,654.09 and 127,975

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Solution

The fourth proportional to 408,435.88, 612,654.09 and 127,975 is: 191,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,435.88 : 612,654.09 = 127,975 : x
  2. Step 2: Convert to fraction form
    408,435.88/612,654.09 = 127,975/x
  3. Step 3: Cross multiply
    408,435.88x = 612,654.09 × 127,975
  4. Step 4: Simplify right side
    408,435.88x = 78,404,407,167.75
  5. Step 5: Solve for x
    x = 78,404,407,167.75/408,435.88
  6. Step 6: Final answer
    x = 191,962.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.