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Finding the Fourth Proportional to 379,652.56, 523,898.03 and 209,876.56

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Solution

The fourth proportional to 379,652.56, 523,898.03 and 209,876.56 is: 289,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,652.56 : 523,898.03 = 209,876.56 : x
  2. Step 2: Convert to fraction form
    379,652.56/523,898.03 = 209,876.56/x
  3. Step 3: Cross multiply
    379,652.56x = 523,898.03 × 209,876.56
  4. Step 4: Simplify right side
    379,652.56x = 109,953,915,542.12
  5. Step 5: Solve for x
    x = 109,953,915,542.12/379,652.56
  6. Step 6: Final answer
    x = 289,617.21

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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.