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Finding the Fourth Proportional to 550,471.72, 825,509.43 and 190,544.77

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Solution

The fourth proportional to 550,471.72, 825,509.43 and 190,544.77 is: 285,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,471.72 : 825,509.43 = 190,544.77 : x
  2. Step 2: Convert to fraction form
    550,471.72/825,509.43 = 190,544.77/x
  3. Step 3: Cross multiply
    550,471.72x = 825,509.43 × 190,544.77
  4. Step 4: Simplify right side
    550,471.72x = 157,296,504,472.18
  5. Step 5: Solve for x
    x = 157,296,504,472.18/550,471.72
  6. Step 6: Final answer
    x = 285,748.57

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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.