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Finding the Fourth Proportional to 257,405.04, 355,204.44 and 149,992.56

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Solution

The fourth proportional to 257,405.04, 355,204.44 and 149,992.56 is: 206,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,405.04 : 355,204.44 = 149,992.56 : x
  2. Step 2: Convert to fraction form
    257,405.04/355,204.44 = 149,992.56/x
  3. Step 3: Cross multiply
    257,405.04x = 355,204.44 × 149,992.56
  4. Step 4: Simplify right side
    257,405.04x = 53,278,023,278.97
  5. Step 5: Solve for x
    x = 53,278,023,278.97/257,405.04
  6. Step 6: Final answer
    x = 206,981.27

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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.