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Finding the Fourth Proportional to 392,305.76, 588,283.52 and 111,757.40

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Solution

The fourth proportional to 392,305.76, 588,283.52 and 111,757.40 is: 167,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,305.76 : 588,283.52 = 111,757.40 : x
  2. Step 2: Convert to fraction form
    392,305.76/588,283.52 = 111,757.40/x
  3. Step 3: Cross multiply
    392,305.76x = 588,283.52 × 111,757.40
  4. Step 4: Simplify right side
    392,305.76x = 65,745,036,658.05
  5. Step 5: Solve for x
    x = 65,745,036,658.05/392,305.76
  6. Step 6: Final answer
    x = 167,586.21

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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.