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Finding the Fourth Proportional to 382,238, 573,357.04 and 132,920

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Solution

The fourth proportional to 382,238, 573,357.04 and 132,920 is: 199,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,238 : 573,357.04 = 132,920 : x
  2. Step 2: Convert to fraction form
    382,238/573,357.04 = 132,920/x
  3. Step 3: Cross multiply
    382,238x = 573,357.04 × 132,920
  4. Step 4: Simplify right side
    382,238x = 76,210,617,756.80
  5. Step 5: Solve for x
    x = 76,210,617,756.80/382,238
  6. Step 6: Final answer
    x = 199,380.01

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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.