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Finding the Fourth Proportional to 382,561.30, 528,035.97 and 269,434.90

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Solution

The fourth proportional to 382,561.30, 528,035.97 and 269,434.90 is: 371,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,561.30 : 528,035.97 = 269,434.90 : x
  2. Step 2: Convert to fraction form
    382,561.30/528,035.97 = 269,434.90/x
  3. Step 3: Cross multiply
    382,561.30x = 528,035.97 × 269,434.90
  4. Step 4: Simplify right side
    382,561.30x = 142,271,318,773.35
  5. Step 5: Solve for x
    x = 142,271,318,773.35/382,561.30
  6. Step 6: Final answer
    x = 371,891.56

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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.