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Finding the Fourth Proportional to 392,420.75, 588,636.66 and 111,938

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Solution

The fourth proportional to 392,420.75, 588,636.66 and 111,938 is: 167,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,420.75 : 588,636.66 = 111,938 : x
  2. Step 2: Convert to fraction form
    392,420.75/588,636.66 = 111,938/x
  3. Step 3: Cross multiply
    392,420.75x = 588,636.66 × 111,938
  4. Step 4: Simplify right side
    392,420.75x = 65,890,810,447.08
  5. Step 5: Solve for x
    x = 65,890,810,447.08/392,420.75
  6. Step 6: Final answer
    x = 167,908.58

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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.