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Finding the Fourth Proportional to 392,035.60, 587,275.80 and 225,629.20

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Solution

The fourth proportional to 392,035.60, 587,275.80 and 225,629.20 is: 337,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,035.60 : 587,275.80 = 225,629.20 : x
  2. Step 2: Convert to fraction form
    392,035.60/587,275.80 = 225,629.20/x
  3. Step 3: Cross multiply
    392,035.60x = 587,275.80 × 225,629.20
  4. Step 4: Simplify right side
    392,035.60x = 132,506,568,933.36
  5. Step 5: Solve for x
    x = 132,506,568,933.36/392,035.60
  6. Step 6: Final answer
    x = 337,996.27

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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.