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Finding the Fourth Proportional to 259,664, 358,336.41 and 140,432

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Solution

The fourth proportional to 259,664, 358,336.41 and 140,432 is: 193,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,664 : 358,336.41 = 140,432 : x
  2. Step 2: Convert to fraction form
    259,664/358,336.41 = 140,432/x
  3. Step 3: Cross multiply
    259,664x = 358,336.41 × 140,432
  4. Step 4: Simplify right side
    259,664x = 50,321,898,729.12
  5. Step 5: Solve for x
    x = 50,321,898,729.12/259,664
  6. Step 6: Final answer
    x = 193,796.21

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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.