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Finding the Fourth Proportional to 308,052.72, 461,806.20 and 121,021.20

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Solution

The fourth proportional to 308,052.72, 461,806.20 and 121,021.20 is: 181,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,052.72 : 461,806.20 = 121,021.20 : x
  2. Step 2: Convert to fraction form
    308,052.72/461,806.20 = 121,021.20/x
  3. Step 3: Cross multiply
    308,052.72x = 461,806.20 × 121,021.20
  4. Step 4: Simplify right side
    308,052.72x = 55,888,340,491.44
  5. Step 5: Solve for x
    x = 55,888,340,491.44/308,052.72
  6. Step 6: Final answer
    x = 181,424.60

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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.