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Finding the Fourth Proportional to 305,505.18, 422,008.20 and 234,769.50

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Solution

The fourth proportional to 305,505.18, 422,008.20 and 234,769.50 is: 324,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,505.18 : 422,008.20 = 234,769.50 : x
  2. Step 2: Convert to fraction form
    305,505.18/422,008.20 = 234,769.50/x
  3. Step 3: Cross multiply
    305,505.18x = 422,008.20 × 234,769.50
  4. Step 4: Simplify right side
    305,505.18x = 99,074,654,109.90
  5. Step 5: Solve for x
    x = 99,074,654,109.90/305,505.18
  6. Step 6: Final answer
    x = 324,297.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.