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Finding the Fourth Proportional to 382,505, 527,856.90 and 223,529

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Solution

The fourth proportional to 382,505, 527,856.90 and 223,529 is: 308,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,505 : 527,856.90 = 223,529 : x
  2. Step 2: Convert to fraction form
    382,505/527,856.90 = 223,529/x
  3. Step 3: Cross multiply
    382,505x = 527,856.90 × 223,529
  4. Step 4: Simplify right side
    382,505x = 117,991,325,000.10
  5. Step 5: Solve for x
    x = 117,991,325,000.10/382,505
  6. Step 6: Final answer
    x = 308,470.02

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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.