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Finding the Fourth Proportional to 427,164.56, 641,010.36 and 216,953.36

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Solution

The fourth proportional to 427,164.56, 641,010.36 and 216,953.36 is: 325,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,164.56 : 641,010.36 = 216,953.36 : x
  2. Step 2: Convert to fraction form
    427,164.56/641,010.36 = 216,953.36/x
  3. Step 3: Cross multiply
    427,164.56x = 641,010.36 × 216,953.36
  4. Step 4: Simplify right side
    427,164.56x = 139,069,351,396.81
  5. Step 5: Solve for x
    x = 139,069,351,396.81/427,164.56
  6. Step 6: Final answer
    x = 325,563.88

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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.