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Finding the Fourth Proportional to 259,628, 358,286.66 and 140,396

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Solution

The fourth proportional to 259,628, 358,286.66 and 140,396 is: 193,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,628 : 358,286.66 = 140,396 : x
  2. Step 2: Convert to fraction form
    259,628/358,286.66 = 140,396/x
  3. Step 3: Cross multiply
    259,628x = 358,286.66 × 140,396
  4. Step 4: Simplify right side
    259,628x = 50,302,013,917.36
  5. Step 5: Solve for x
    x = 50,302,013,917.36/259,628
  6. Step 6: Final answer
    x = 193,746.49

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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.