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Finding the Fourth Proportional to 308,878.38, 463,169.16 and 131,289.12

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Solution

The fourth proportional to 308,878.38, 463,169.16 and 131,289.12 is: 196,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,878.38 : 463,169.16 = 131,289.12 : x
  2. Step 2: Convert to fraction form
    308,878.38/463,169.16 = 131,289.12/x
  3. Step 3: Cross multiply
    308,878.38x = 463,169.16 × 131,289.12
  4. Step 4: Simplify right side
    308,878.38x = 60,809,071,427.54
  5. Step 5: Solve for x
    x = 60,809,071,427.54/308,878.38
  6. Step 6: Final answer
    x = 196,870.60

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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.