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Finding the Fourth Proportional to 308,535.78, 462,813.85 and 106,129.85

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Solution

The fourth proportional to 308,535.78, 462,813.85 and 106,129.85 is: 159,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,535.78 : 462,813.85 = 106,129.85 : x
  2. Step 2: Convert to fraction form
    308,535.78/462,813.85 = 106,129.85/x
  3. Step 3: Cross multiply
    308,535.78x = 462,813.85 × 106,129.85
  4. Step 4: Simplify right side
    308,535.78x = 49,118,362,297.02
  5. Step 5: Solve for x
    x = 49,118,362,297.02/308,535.78
  6. Step 6: Final answer
    x = 159,198.27

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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.