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Finding the Fourth Proportional to 379,457.31, 523,630.49 and 209,680.50

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Solution

The fourth proportional to 379,457.31, 523,630.49 and 209,680.50 is: 289,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,457.31 : 523,630.49 = 209,680.50 : x
  2. Step 2: Convert to fraction form
    379,457.31/523,630.49 = 209,680.50/x
  3. Step 3: Cross multiply
    379,457.31x = 523,630.49 × 209,680.50
  4. Step 4: Simplify right side
    379,457.31x = 109,795,101,910.04
  5. Step 5: Solve for x
    x = 109,795,101,910.04/379,457.31
  6. Step 6: Final answer
    x = 289,347.71

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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.