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Finding the Fourth Proportional to 398,142.60, 598,380.30 and 391,144.20

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Solution

The fourth proportional to 398,142.60, 598,380.30 and 391,144.20 is: 587,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,142.60 : 598,380.30 = 391,144.20 : x
  2. Step 2: Convert to fraction form
    398,142.60/598,380.30 = 391,144.20/x
  3. Step 3: Cross multiply
    398,142.60x = 598,380.30 × 391,144.20
  4. Step 4: Simplify right side
    398,142.60x = 234,052,983,739.26
  5. Step 5: Solve for x
    x = 234,052,983,739.26/398,142.60
  6. Step 6: Final answer
    x = 587,862.20

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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.