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Finding the Fourth Proportional to 308,912.80, 463,362.36 and 84,269.20

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Solution

The fourth proportional to 308,912.80, 463,362.36 and 84,269.20 is: 126,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,912.80 : 463,362.36 = 84,269.20 : x
  2. Step 2: Convert to fraction form
    308,912.80/463,362.36 = 84,269.20/x
  3. Step 3: Cross multiply
    308,912.80x = 463,362.36 × 84,269.20
  4. Step 4: Simplify right side
    308,912.80x = 39,047,175,387.31
  5. Step 5: Solve for x
    x = 39,047,175,387.31/308,912.80
  6. Step 6: Final answer
    x = 126,401.93

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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.