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Finding the Fourth Proportional to 379,605.92, 523,816.08 and 209,812.64

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Solution

The fourth proportional to 379,605.92, 523,816.08 and 209,812.64 is: 289,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,605.92 : 523,816.08 = 209,812.64 : x
  2. Step 2: Convert to fraction form
    379,605.92/523,816.08 = 209,812.64/x
  3. Step 3: Cross multiply
    379,605.92x = 523,816.08 × 209,812.64
  4. Step 4: Simplify right side
    379,605.92x = 109,903,234,619.25
  5. Step 5: Solve for x
    x = 109,903,234,619.25/379,605.92
  6. Step 6: Final answer
    x = 289,519.29

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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.