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Finding the Fourth Proportional to 242,568.78, 363,918.81 and 137,461.56

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Solution

The fourth proportional to 242,568.78, 363,918.81 and 137,461.56 is: 206,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568.78 : 363,918.81 = 137,461.56 : x
  2. Step 2: Convert to fraction form
    242,568.78/363,918.81 = 137,461.56/x
  3. Step 3: Cross multiply
    242,568.78x = 363,918.81 × 137,461.56
  4. Step 4: Simplify right side
    242,568.78x = 50,024,847,335.94
  5. Step 5: Solve for x
    x = 50,024,847,335.94/242,568.78
  6. Step 6: Final answer
    x = 206,229.54

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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.