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Finding the Fourth Proportional to 392,419.75, 588,635.16 and 111,937

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Solution

The fourth proportional to 392,419.75, 588,635.16 and 111,937 is: 167,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,419.75 : 588,635.16 = 111,937 : x
  2. Step 2: Convert to fraction form
    392,419.75/588,635.16 = 111,937/x
  3. Step 3: Cross multiply
    392,419.75x = 588,635.16 × 111,937
  4. Step 4: Simplify right side
    392,419.75x = 65,890,053,904.92
  5. Step 5: Solve for x
    x = 65,890,053,904.92/392,419.75
  6. Step 6: Final answer
    x = 167,907.08

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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.