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Finding the Fourth Proportional to 382,839, 574,263.36 and 133,521

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Solution

The fourth proportional to 382,839, 574,263.36 and 133,521 is: 200,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,839 : 574,263.36 = 133,521 : x
  2. Step 2: Convert to fraction form
    382,839/574,263.36 = 133,521/x
  3. Step 3: Cross multiply
    382,839x = 574,263.36 × 133,521
  4. Step 4: Simplify right side
    382,839x = 76,676,218,090.56
  5. Step 5: Solve for x
    x = 76,676,218,090.56/382,839
  6. Step 6: Final answer
    x = 200,283.19

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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.