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Finding the Fourth Proportional to 387,431.96, 582,022.78 and 229,763.84

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Solution

The fourth proportional to 387,431.96, 582,022.78 and 229,763.84 is: 345,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,431.96 : 582,022.78 = 229,763.84 : x
  2. Step 2: Convert to fraction form
    387,431.96/582,022.78 = 229,763.84/x
  3. Step 3: Cross multiply
    387,431.96x = 582,022.78 × 229,763.84
  4. Step 4: Simplify right side
    387,431.96x = 133,727,788,900.28
  5. Step 5: Solve for x
    x = 133,727,788,900.28/387,431.96
  6. Step 6: Final answer
    x = 345,164.58

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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.