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Finding the Fourth Proportional to 382,304.21, 573,098.09 and 129,407.83

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Solution

The fourth proportional to 382,304.21, 573,098.09 and 129,407.83 is: 193,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,304.21 : 573,098.09 = 129,407.83 : x
  2. Step 2: Convert to fraction form
    382,304.21/573,098.09 = 129,407.83/x
  3. Step 3: Cross multiply
    382,304.21x = 573,098.09 × 129,407.83
  4. Step 4: Simplify right side
    382,304.21x = 74,163,378,124.26
  5. Step 5: Solve for x
    x = 74,163,378,124.26/382,304.21
  6. Step 6: Final answer
    x = 193,990.48

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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.