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Finding the Fourth Proportional to 257,780.34, 355,734.90 and 143,057.88

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Solution

The fourth proportional to 257,780.34, 355,734.90 and 143,057.88 is: 197,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,780.34 : 355,734.90 = 143,057.88 : x
  2. Step 2: Convert to fraction form
    257,780.34/355,734.90 = 143,057.88/x
  3. Step 3: Cross multiply
    257,780.34x = 355,734.90 × 143,057.88
  4. Step 4: Simplify right side
    257,780.34x = 50,890,680,636.01
  5. Step 5: Solve for x
    x = 50,890,680,636.01/257,780.34
  6. Step 6: Final answer
    x = 197,418.78

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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.