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Finding the Fourth Proportional to 242,569.78, 363,920.31 and 137,462.56

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Solution

The fourth proportional to 242,569.78, 363,920.31 and 137,462.56 is: 206,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,569.78 : 363,920.31 = 137,462.56 : x
  2. Step 2: Convert to fraction form
    242,569.78/363,920.31 = 137,462.56/x
  3. Step 3: Cross multiply
    242,569.78x = 363,920.31 × 137,462.56
  4. Step 4: Simplify right side
    242,569.78x = 50,025,417,448.59
  5. Step 5: Solve for x
    x = 50,025,417,448.59/242,569.78
  6. Step 6: Final answer
    x = 206,231.04

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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.