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Finding the Fourth Proportional to 379,693.84, 523,958.24 and 209,895.16

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Solution

The fourth proportional to 379,693.84, 523,958.24 and 209,895.16 is: 289,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,693.84 : 523,958.24 = 209,895.16 : x
  2. Step 2: Convert to fraction form
    379,693.84/523,958.24 = 209,895.16/x
  3. Step 3: Cross multiply
    379,693.84x = 523,958.24 × 209,895.16
  4. Step 4: Simplify right side
    379,693.84x = 109,976,298,618.12
  5. Step 5: Solve for x
    x = 109,976,298,618.12/379,693.84
  6. Step 6: Final answer
    x = 289,644.67

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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.