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Finding the Fourth Proportional to 389,608.29, 584,434.67 and 109,147.41

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Solution

The fourth proportional to 389,608.29, 584,434.67 and 109,147.41 is: 163,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,608.29 : 584,434.67 = 109,147.41 : x
  2. Step 2: Convert to fraction form
    389,608.29/584,434.67 = 109,147.41/x
  3. Step 3: Cross multiply
    389,608.29x = 584,434.67 × 109,147.41
  4. Step 4: Simplify right side
    389,608.29x = 63,789,529,998.97
  5. Step 5: Solve for x
    x = 63,789,529,998.97/389,608.29
  6. Step 6: Final answer
    x = 163,727.34

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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.