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Finding the Fourth Proportional to 381,082.47, 525,855.90 and 219,989.40

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Solution

The fourth proportional to 381,082.47, 525,855.90 and 219,989.40 is: 303,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,082.47 : 525,855.90 = 219,989.40 : x
  2. Step 2: Convert to fraction form
    381,082.47/525,855.90 = 219,989.40/x
  3. Step 3: Cross multiply
    381,082.47x = 525,855.90 × 219,989.40
  4. Step 4: Simplify right side
    381,082.47x = 115,682,723,927.46
  5. Step 5: Solve for x
    x = 115,682,723,927.46/381,082.47
  6. Step 6: Final answer
    x = 303,563.49

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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.