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Finding the Fourth Proportional to 392,866.80, 588,911.40 and 193,023.60

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Solution

The fourth proportional to 392,866.80, 588,911.40 and 193,023.60 is: 289,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,866.80 : 588,911.40 = 193,023.60 : x
  2. Step 2: Convert to fraction form
    392,866.80/588,911.40 = 193,023.60/x
  3. Step 3: Cross multiply
    392,866.80x = 588,911.40 × 193,023.60
  4. Step 4: Simplify right side
    392,866.80x = 113,673,798,509.04
  5. Step 5: Solve for x
    x = 113,673,798,509.04/392,866.80
  6. Step 6: Final answer
    x = 289,344.37

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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.