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Finding the Fourth Proportional to 259,558, 358,190.12 and 140,326

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Solution

The fourth proportional to 259,558, 358,190.12 and 140,326 is: 193,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,558 : 358,190.12 = 140,326 : x
  2. Step 2: Convert to fraction form
    259,558/358,190.12 = 140,326/x
  3. Step 3: Cross multiply
    259,558x = 358,190.12 × 140,326
  4. Step 4: Simplify right side
    259,558x = 50,263,386,779.12
  5. Step 5: Solve for x
    x = 50,263,386,779.12/259,558
  6. Step 6: Final answer
    x = 193,649.92

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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.