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Finding the Fourth Proportional to 545,020.92, 817,434 and 165,849.66

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Solution

The fourth proportional to 545,020.92, 817,434 and 165,849.66 is: 248,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,020.92 : 817,434 = 165,849.66 : x
  2. Step 2: Convert to fraction form
    545,020.92/817,434 = 165,849.66/x
  3. Step 3: Cross multiply
    545,020.92x = 817,434 × 165,849.66
  4. Step 4: Simplify right side
    545,020.92x = 135,571,150,972.44
  5. Step 5: Solve for x
    x = 135,571,150,972.44/545,020.92
  6. Step 6: Final answer
    x = 248,744.86

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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.