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Finding the Fourth Proportional to 257,850.52, 355,832.10 and 144,673

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Solution

The fourth proportional to 257,850.52, 355,832.10 and 144,673 is: 199,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,850.52 : 355,832.10 = 144,673 : x
  2. Step 2: Convert to fraction form
    257,850.52/355,832.10 = 144,673/x
  3. Step 3: Cross multiply
    257,850.52x = 355,832.10 × 144,673
  4. Step 4: Simplify right side
    257,850.52x = 51,479,297,403.30
  5. Step 5: Solve for x
    x = 51,479,297,403.30/257,850.52
  6. Step 6: Final answer
    x = 199,647.83

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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.