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Finding the Fourth Proportional to 259,559, 358,191.50 and 140,327

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Solution

The fourth proportional to 259,559, 358,191.50 and 140,327 is: 193,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,559 : 358,191.50 = 140,327 : x
  2. Step 2: Convert to fraction form
    259,559/358,191.50 = 140,327/x
  3. Step 3: Cross multiply
    259,559x = 358,191.50 × 140,327
  4. Step 4: Simplify right side
    259,559x = 50,263,938,620.50
  5. Step 5: Solve for x
    x = 50,263,938,620.50/259,559
  6. Step 6: Final answer
    x = 193,651.30

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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.