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Finding the Fourth Proportional to 308,873.80, 463,610.29 and 149,062.20

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Solution

The fourth proportional to 308,873.80, 463,610.29 and 149,062.20 is: 223,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,873.80 : 463,610.29 = 149,062.20 : x
  2. Step 2: Convert to fraction form
    308,873.80/463,610.29 = 149,062.20/x
  3. Step 3: Cross multiply
    308,873.80x = 463,610.29 × 149,062.20
  4. Step 4: Simplify right side
    308,873.80x = 69,106,769,770.04
  5. Step 5: Solve for x
    x = 69,106,769,770.04/308,873.80
  6. Step 6: Final answer
    x = 223,737.88

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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.