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Finding the Fourth Proportional to 259,562, 358,195.64 and 140,330

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Solution

The fourth proportional to 259,562, 358,195.64 and 140,330 is: 193,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,562 : 358,195.64 = 140,330 : x
  2. Step 2: Convert to fraction form
    259,562/358,195.64 = 140,330/x
  3. Step 3: Cross multiply
    259,562x = 358,195.64 × 140,330
  4. Step 4: Simplify right side
    259,562x = 50,265,594,161.20
  5. Step 5: Solve for x
    x = 50,265,594,161.20/259,562
  6. Step 6: Final answer
    x = 193,655.44

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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.