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Finding the Fourth Proportional to 382,839.50, 574,264.11 and 133,521.50

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Solution

The fourth proportional to 382,839.50, 574,264.11 and 133,521.50 is: 200,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,839.50 : 574,264.11 = 133,521.50 : x
  2. Step 2: Convert to fraction form
    382,839.50/574,264.11 = 133,521.50/x
  3. Step 3: Cross multiply
    382,839.50x = 574,264.11 × 133,521.50
  4. Step 4: Simplify right side
    382,839.50x = 76,676,605,363.37
  5. Step 5: Solve for x
    x = 76,676,605,363.37/382,839.50
  6. Step 6: Final answer
    x = 200,283.95

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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.