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Finding the Fourth Proportional to 382,812.39, 574,305.09 and 126,644.36

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Solution

The fourth proportional to 382,812.39, 574,305.09 and 126,644.36 is: 189,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,812.39 : 574,305.09 = 126,644.36 : x
  2. Step 2: Convert to fraction form
    382,812.39/574,305.09 = 126,644.36/x
  3. Step 3: Cross multiply
    382,812.39x = 574,305.09 × 126,644.36
  4. Step 4: Simplify right side
    382,812.39x = 72,732,500,324.83
  5. Step 5: Solve for x
    x = 72,732,500,324.83/382,812.39
  6. Step 6: Final answer
    x = 189,995.16

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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.