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Finding the Fourth Proportional to 259,609.50, 358,261.11 and 140,377.50

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Solution

The fourth proportional to 259,609.50, 358,261.11 and 140,377.50 is: 193,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,609.50 : 358,261.11 = 140,377.50 : x
  2. Step 2: Convert to fraction form
    259,609.50/358,261.11 = 140,377.50/x
  3. Step 3: Cross multiply
    259,609.50x = 358,261.11 × 140,377.50
  4. Step 4: Simplify right side
    259,609.50x = 50,291,798,969.03
  5. Step 5: Solve for x
    x = 50,291,798,969.03/259,609.50
  6. Step 6: Final answer
    x = 193,720.95

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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.