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Finding the Fourth Proportional to 392,407.50, 588,616.80 and 111,924.75

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Solution

The fourth proportional to 392,407.50, 588,616.80 and 111,924.75 is: 167,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,407.50 : 588,616.80 = 111,924.75 : x
  2. Step 2: Convert to fraction form
    392,407.50/588,616.80 = 111,924.75/x
  3. Step 3: Cross multiply
    392,407.50x = 588,616.80 × 111,924.75
  4. Step 4: Simplify right side
    392,407.50x = 65,880,788,185.80
  5. Step 5: Solve for x
    x = 65,880,788,185.80/392,407.50
  6. Step 6: Final answer
    x = 167,888.71

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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.