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Finding the Fourth Proportional to 383,817.60, 575,812.80 and 225,964.80

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Solution

The fourth proportional to 383,817.60, 575,812.80 and 225,964.80 is: 338,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,817.60 : 575,812.80 = 225,964.80 : x
  2. Step 2: Convert to fraction form
    383,817.60/575,812.80 = 225,964.80/x
  3. Step 3: Cross multiply
    383,817.60x = 575,812.80 × 225,964.80
  4. Step 4: Simplify right side
    383,817.60x = 130,113,424,189.44
  5. Step 5: Solve for x
    x = 130,113,424,189.44/383,817.60
  6. Step 6: Final answer
    x = 338,998.07

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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.