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Finding the Fourth Proportional to 259,665, 358,337.79 and 140,433

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Solution

The fourth proportional to 259,665, 358,337.79 and 140,433 is: 193,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,665 : 358,337.79 = 140,433 : x
  2. Step 2: Convert to fraction form
    259,665/358,337.79 = 140,433/x
  3. Step 3: Cross multiply
    259,665x = 358,337.79 × 140,433
  4. Step 4: Simplify right side
    259,665x = 50,322,450,863.07
  5. Step 5: Solve for x
    x = 50,322,450,863.07/259,665
  6. Step 6: Final answer
    x = 193,797.59

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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.