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Finding the Fourth Proportional to 469,712.88, 648,195.60 and 285,885

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Solution

The fourth proportional to 469,712.88, 648,195.60 and 285,885 is: 394,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,712.88 : 648,195.60 = 285,885 : x
  2. Step 2: Convert to fraction form
    469,712.88/648,195.60 = 285,885/x
  3. Step 3: Cross multiply
    469,712.88x = 648,195.60 × 285,885
  4. Step 4: Simplify right side
    469,712.88x = 185,309,399,106
  5. Step 5: Solve for x
    x = 185,309,399,106/469,712.88
  6. Step 6: Final answer
    x = 394,516.32

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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.