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Finding the Fourth Proportional to 308,816.43, 462,912.79 and 148,657.16

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Solution

The fourth proportional to 308,816.43, 462,912.79 and 148,657.16 is: 222,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,816.43 : 462,912.79 = 148,657.16 : x
  2. Step 2: Convert to fraction form
    308,816.43/462,912.79 = 148,657.16/x
  3. Step 3: Cross multiply
    308,816.43x = 462,912.79 × 148,657.16
  4. Step 4: Simplify right side
    308,816.43x = 68,815,300,689.08
  5. Step 5: Solve for x
    x = 68,815,300,689.08/308,816.43
  6. Step 6: Final answer
    x = 222,835.62

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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.