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Finding the Fourth Proportional to 387,796.60, 582,132.30 and 299,441.80

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Solution

The fourth proportional to 387,796.60, 582,132.30 and 299,441.80 is: 449,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,796.60 : 582,132.30 = 299,441.80 : x
  2. Step 2: Convert to fraction form
    387,796.60/582,132.30 = 299,441.80/x
  3. Step 3: Cross multiply
    387,796.60x = 582,132.30 × 299,441.80
  4. Step 4: Simplify right side
    387,796.60x = 174,314,743,750.14
  5. Step 5: Solve for x
    x = 174,314,743,750.14/387,796.60
  6. Step 6: Final answer
    x = 449,500.44

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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.