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Finding the Fourth Proportional to 259,668, 358,341.84 and 140,436

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Solution

The fourth proportional to 259,668, 358,341.84 and 140,436 is: 193,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,668 : 358,341.84 = 140,436 : x
  2. Step 2: Convert to fraction form
    259,668/358,341.84 = 140,436/x
  3. Step 3: Cross multiply
    259,668x = 358,341.84 × 140,436
  4. Step 4: Simplify right side
    259,668x = 50,324,094,642.24
  5. Step 5: Solve for x
    x = 50,324,094,642.24/259,668
  6. Step 6: Final answer
    x = 193,801.68

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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.