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Finding the Fourth Proportional to 259,616, 358,270.10 and 140,384

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Solution

The fourth proportional to 259,616, 358,270.10 and 140,384 is: 193,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,616 : 358,270.10 = 140,384 : x
  2. Step 2: Convert to fraction form
    259,616/358,270.10 = 140,384/x
  3. Step 3: Cross multiply
    259,616x = 358,270.10 × 140,384
  4. Step 4: Simplify right side
    259,616x = 50,295,389,718.40
  5. Step 5: Solve for x
    x = 50,295,389,718.40/259,616
  6. Step 6: Final answer
    x = 193,729.93

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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.