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Finding the Fourth Proportional to 308,022.40, 461,803.20 and 167,939.20

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Solution

The fourth proportional to 308,022.40, 461,803.20 and 167,939.20 is: 251,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,022.40 : 461,803.20 = 167,939.20 : x
  2. Step 2: Convert to fraction form
    308,022.40/461,803.20 = 167,939.20/x
  3. Step 3: Cross multiply
    308,022.40x = 461,803.20 × 167,939.20
  4. Step 4: Simplify right side
    308,022.40x = 77,554,859,965.44
  5. Step 5: Solve for x
    x = 77,554,859,965.44/308,022.40
  6. Step 6: Final answer
    x = 251,783.18

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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.