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Finding the Fourth Proportional to 392,266.40, 588,486.72 and 111,786.08

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Solution

The fourth proportional to 392,266.40, 588,486.72 and 111,786.08 is: 167,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,266.40 : 588,486.72 = 111,786.08 : x
  2. Step 2: Convert to fraction form
    392,266.40/588,486.72 = 111,786.08/x
  3. Step 3: Cross multiply
    392,266.40x = 588,486.72 × 111,786.08
  4. Step 4: Simplify right side
    392,266.40x = 65,784,623,560.86
  5. Step 5: Solve for x
    x = 65,784,623,560.86/392,266.40
  6. Step 6: Final answer
    x = 167,703.95

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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.