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Finding the Fourth Proportional to 379,601.92, 523,810.56 and 209,808.64

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Solution

The fourth proportional to 379,601.92, 523,810.56 and 209,808.64 is: 289,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,601.92 : 523,810.56 = 209,808.64 : x
  2. Step 2: Convert to fraction form
    379,601.92/523,810.56 = 209,808.64/x
  3. Step 3: Cross multiply
    379,601.92x = 523,810.56 × 209,808.64
  4. Step 4: Simplify right side
    379,601.92x = 109,899,981,211.24
  5. Step 5: Solve for x
    x = 109,899,981,211.24/379,601.92
  6. Step 6: Final answer
    x = 289,513.77

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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.