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Finding the Fourth Proportional to 392,392.50, 588,594.30 and 111,909.75

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Solution

The fourth proportional to 392,392.50, 588,594.30 and 111,909.75 is: 167,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,392.50 : 588,594.30 = 111,909.75 : x
  2. Step 2: Convert to fraction form
    392,392.50/588,594.30 = 111,909.75/x
  3. Step 3: Cross multiply
    392,392.50x = 588,594.30 × 111,909.75
  4. Step 4: Simplify right side
    392,392.50x = 65,869,440,964.43
  5. Step 5: Solve for x
    x = 65,869,440,964.43/392,392.50
  6. Step 6: Final answer
    x = 167,866.21

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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.