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Finding the Fourth Proportional to 256,498, 353,960.64 and 143,321.68

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Solution

The fourth proportional to 256,498, 353,960.64 and 143,321.68 is: 197,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498 : 353,960.64 = 143,321.68 : x
  2. Step 2: Convert to fraction form
    256,498/353,960.64 = 143,321.68/x
  3. Step 3: Cross multiply
    256,498x = 353,960.64 × 143,321.68
  4. Step 4: Simplify right side
    256,498x = 50,730,233,578.68
  5. Step 5: Solve for x
    x = 50,730,233,578.68/256,498
  6. Step 6: Final answer
    x = 197,780.23

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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.