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Finding the Fourth Proportional to 274,141.16, 410,074.50 and 257,345

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Solution

The fourth proportional to 274,141.16, 410,074.50 and 257,345 is: 384,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,141.16 : 410,074.50 = 257,345 : x
  2. Step 2: Convert to fraction form
    274,141.16/410,074.50 = 257,345/x
  3. Step 3: Cross multiply
    274,141.16x = 410,074.50 × 257,345
  4. Step 4: Simplify right side
    274,141.16x = 105,530,622,202.50
  5. Step 5: Solve for x
    x = 105,530,622,202.50/274,141.16
  6. Step 6: Final answer
    x = 384,949.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.