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Finding the Fourth Proportional to 382,960.38, 528,405.30 and 221,805.84

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Solution

The fourth proportional to 382,960.38, 528,405.30 and 221,805.84 is: 306,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,960.38 : 528,405.30 = 221,805.84 : x
  2. Step 2: Convert to fraction form
    382,960.38/528,405.30 = 221,805.84/x
  3. Step 3: Cross multiply
    382,960.38x = 528,405.30 × 221,805.84
  4. Step 4: Simplify right side
    382,960.38x = 117,203,381,426.95
  5. Step 5: Solve for x
    x = 117,203,381,426.95/382,960.38
  6. Step 6: Final answer
    x = 306,045.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.