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Finding the Fourth Proportional to 312,568.56, 468,075.24 and 218,634.48

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Solution

The fourth proportional to 312,568.56, 468,075.24 and 218,634.48 is: 327,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,568.56 : 468,075.24 = 218,634.48 : x
  2. Step 2: Convert to fraction form
    312,568.56/468,075.24 = 218,634.48/x
  3. Step 3: Cross multiply
    312,568.56x = 468,075.24 × 218,634.48
  4. Step 4: Simplify right side
    312,568.56x = 102,337,386,698.28
  5. Step 5: Solve for x
    x = 102,337,386,698.28/312,568.56
  6. Step 6: Final answer
    x = 327,407.81

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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.