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Finding the Fourth Proportional to 259,430, 358,013.88 and 140,198

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Solution

The fourth proportional to 259,430, 358,013.88 and 140,198 is: 193,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,430 : 358,013.88 = 140,198 : x
  2. Step 2: Convert to fraction form
    259,430/358,013.88 = 140,198/x
  3. Step 3: Cross multiply
    259,430x = 358,013.88 × 140,198
  4. Step 4: Simplify right side
    259,430x = 50,192,829,948.24
  5. Step 5: Solve for x
    x = 50,192,829,948.24/259,430
  6. Step 6: Final answer
    x = 193,473.50

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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.