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Finding the Fourth Proportional to 392,421.75, 588,638.16 and 111,939

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Solution

The fourth proportional to 392,421.75, 588,638.16 and 111,939 is: 167,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,421.75 : 588,638.16 = 111,939 : x
  2. Step 2: Convert to fraction form
    392,421.75/588,638.16 = 111,939/x
  3. Step 3: Cross multiply
    392,421.75x = 588,638.16 × 111,939
  4. Step 4: Simplify right side
    392,421.75x = 65,891,566,992.24
  5. Step 5: Solve for x
    x = 65,891,566,992.24/392,421.75
  6. Step 6: Final answer
    x = 167,910.08

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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.