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Finding the Fourth Proportional to 393,197.12, 589,910.88 and 126,952.64

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Solution

The fourth proportional to 393,197.12, 589,910.88 and 126,952.64 is: 190,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,197.12 : 589,910.88 = 126,952.64 : x
  2. Step 2: Convert to fraction form
    393,197.12/589,910.88 = 126,952.64/x
  3. Step 3: Cross multiply
    393,197.12x = 589,910.88 × 126,952.64
  4. Step 4: Simplify right side
    393,197.12x = 74,890,743,580.72
  5. Step 5: Solve for x
    x = 74,890,743,580.72/393,197.12
  6. Step 6: Final answer
    x = 190,466.15

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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.