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Finding the Fourth Proportional to 257,910.54, 355,900.56 and 143,182.50

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Solution

The fourth proportional to 257,910.54, 355,900.56 and 143,182.50 is: 197,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,910.54 : 355,900.56 = 143,182.50 : x
  2. Step 2: Convert to fraction form
    257,910.54/355,900.56 = 143,182.50/x
  3. Step 3: Cross multiply
    257,910.54x = 355,900.56 × 143,182.50
  4. Step 4: Simplify right side
    257,910.54x = 50,958,731,932.20
  5. Step 5: Solve for x
    x = 50,958,731,932.20/257,910.54
  6. Step 6: Final answer
    x = 197,582.98

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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.