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Finding the Fourth Proportional to 259,420, 357,999.60 and 140,188

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Solution

The fourth proportional to 259,420, 357,999.60 and 140,188 is: 193,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,420 : 357,999.60 = 140,188 : x
  2. Step 2: Convert to fraction form
    259,420/357,999.60 = 140,188/x
  3. Step 3: Cross multiply
    259,420x = 357,999.60 × 140,188
  4. Step 4: Simplify right side
    259,420x = 50,187,247,924.80
  5. Step 5: Solve for x
    x = 50,187,247,924.80/259,420
  6. Step 6: Final answer
    x = 193,459.44

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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.