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Finding the Fourth Proportional to 427,812.80, 641,719.20 and 217,860.80

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Solution

The fourth proportional to 427,812.80, 641,719.20 and 217,860.80 is: 326,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,812.80 : 641,719.20 = 217,860.80 : x
  2. Step 2: Convert to fraction form
    427,812.80/641,719.20 = 217,860.80/x
  3. Step 3: Cross multiply
    427,812.80x = 641,719.20 × 217,860.80
  4. Step 4: Simplify right side
    427,812.80x = 139,805,458,287.36
  5. Step 5: Solve for x
    x = 139,805,458,287.36/427,812.80
  6. Step 6: Final answer
    x = 326,791.20

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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.